My name in books (mostly from google books)

including some preprints and dissertations

Some spellings of my last name:

Vaserstein Wasserstein Vasershtein Vasserstein Vaseršteǐn, Waserstein,  Vassershtejn, Vasersteyn  Васерштейн Вассерштейн

My name in title from Math Reviews

My name in title from other sources

My publications

1965

Сборник задач московских математических олимпиад. - Составитель А.А.Леман, редактор В.Г.Болтянский. 1965   384 pages

 Author A. A. Leman Editor Владимир Григорьевиč Болтянский Publisher Просвещение, 1965 Length 382 pages

Настоящая книга представляет собой плод многолетней коллективной работы школьного

математического кружка при МГУ, работы, активное участие в которой принимали многие

студенты и преподаватели Московского Университета, а также школьникиучастники кружка.

Установление авторства отдельных задач потребовало бы в настоящий момент совершенно

непосильной исследовательской работы.

Составитель и редактор считают, однако, своим долгом выразить благодарность

следующим лицам, принявшим участие в составлении решений и указаний, а иногда

и в выяснении смысла &laquo;темных&raquo; задач подготовительных сборников:

Г.М.;Адельсону-Вельскому, В.Л.;Арлазарову, В.И.;Арнольду, Д.Н.;Бернштейну,

И.Н.;Бернштейну, Л.Н.;Вассерштейну, А.М.;Габриэлову, А.М.;Леонтовичу,

С.В.;Казакову, А.А.;Кириллову, О.А.;Котию, Ю.И.;Манину, 3.А.;Скопецу,

Е.И.;Славутину, Г.В.;Смирновой, А.Л.;Тоому, Д.Б.;Фуксу, А.X.;Хованскому,

М.В.;Шейнбергу.

1966

Surgery on Compact Manifolds

ICM Moscow 1966 International Congress of Mathematicians, Moscow, 16-26 August 1966 volume 1

И. И. Пятецкий-Шапиро  Автоморфные функции и арифметические группы ,.   p. 232-250        djvu:1.0 M      pdf:1.9 M   - Page 242

Васерштейн

Charles W. Curtis, ‎Irving Reiner - 1966

1967

Успехи математических наук - Volume 22, Part 2 - Page 208

Кроме того, Л. Н. Вассерштейн прочитал лекцию о подгруппах конечного индекса арифметических дискретных групп.

Lectures on topics in algebraic k-theory

Hyman Bass, ‎Amit Roy - 1967

1968

Thirty-One Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966

American Mathematical Society Translations--Series 2

1968; 266 pp; hardcover  Volume: 70

### 1968

46492 Васерштейн Л. Н. 63526 Васецкнй В. 79246 Васнков П. 83458

### Ресуеил матхéматикуе де ла Социéтé матхéматикуе де Моско

1968

большего. или. равного. 2. Л. Н. Васерштейн (Москва) Настоящая ^заметка представляет собой продолжение заметки [1]. Высказанная там гипотеза доказывается здесь для случая специальной унитарной (т. е. эрмитовой) группы ...

1969  7 books

Bulletin signalétique: Mathématiques pures et appliquées - Page 12, 21, 150

1969 Centre de documentation du C.N.R.S.

Varopoulos, N. T., 1093. Varshavskij, V. I„ 2575. Vasconcelos, W. V., 441, 448. Vasershtejn, L. N"., 305, 609. Vasic, P. M., 14U8, 1755, 1756, 1948, 1949, 1950, 1951, 1953. Vasilescu, F.-H., 822. Vasil'ev, V. G., 2394. Vasquez, A. T., 2128.

Автоматика и телемеханика: орган Комиссии автоматики и телемеханики, Volume 30, Issues 9-12 - Page 103

1969

С другой стороны, естественно ожидать, что при е, близких к 7г, система эргодична. Как заметил Л. Н. Вассерштейн, это можно доказать следующим методом, применимым и во многих других случаях.

Советско-японский симпозюм по теории вероятностей,  Хабаровск, август, 1969 г, Volume 1- Page 11, 30

Japan-USSR Symposium on Probability Theory. Khabarovsk

Л И Т В Р- А Т У Р . А 1. Добрушин Р. Л. 2. Вассерштейн Л.Н. 3. Аверинцев М., 4. Досадшин Р. Л. 5. V.;;- . п Р. Л. 6. Беляев Ю.К. Малышев В. А. Громак Ю.И. 7. Ставе кая О.Н. Пятецкий-Шапиро 8. Шнирман М.Г. 9. Тоом А. Л. 10.

Recueil mathématique de la Société mathématique de Moscou - Page 422, 424, 463

1969

2. Н. В аз з, Л. МПпог апй Л.-Р. Зегге, 5о1иИоп сГ 1Ье сопдгиепсе виЬдгоир ргоЬ- 1ет !ог 51„ (л>3) апй 5Р2п (л^2), РиЫ. МаШ., 33 (1967), 59—137. 3. Л. Н. Васерштейн, Кртеория и конгруэнцпроблема, Матем. заметки, 5, вып. 2 (1969) ...

Книжная летопись: Дополнительный выпуск - Page 13

1969

... А. А. 14881 Варлинский Н. Н. 17339 Вартанян В. арм 16430 Вартанян В. А. 15173 Васадзе Б. И. 18127 Васенев С. А. 16501 Васерштейн Л. Н 10925 Василевич А. П. 14882 Василенко В. В. 17340 Василенко Е. Д. 15435 Василишин ...

Летопись журнальных статей - Issues 1-5 - Page 19

Васерштейн, Л. Н. Контруэнцпроблема для унитарной группы ранга, ...

Introduction to Probability and Statistics (with CD-ROM)

William Mendenhall - 1969

1970

Ресуеил матхéматикуе де ла Социéтé матхéматикуе де  Москоу   Page 322, 336, 351

Л. Н. Васерштейн, /(1 -теория и конгруэнцпроблема, Матем. заметки, 5, No 2 (1969), 233—244.

Летопис ьжурналńых статей - Issues 27-39 - Page 79

Васерштейн Л. Н. 116150

Vasershtein

Automation express - Volume 12 -International Physical Index., 1970  Page 16, 37

Vasershtein

Экономика и математические методы - Volume 18, Issues 1-3 - Page 287

1982

Л.: Машиностроение, 1970. 2. Васерштейн Л. Н., Шерман Э. Б. О формировании вариантов в дискретных задачах оптимального отраслевого планирования. — Экономика и матем. методы, 1975, т. XI, вып. 4. 3. Васерштейн Л. П.

1970

... понижению степени матриц в конгруэнц-проблеме. Обычно задачу удается свести к 81,(3, о) и 5/7 (4, о). Сюда относятся работы [10, 14, 194]. Л. Н. Васерштейн [12, 13, 15] с помощью ортогональных и 84.

Васерштейн Л. Н., /Сртеория и конгруэнц-проблема, Мат заметки 1969, 5, No 2, 233—244 (РЖМат, 1969, 7А330) Ю. — , Конгруэнцпроблема для унитарной группы ранга, большего или равного 2. Мат. сб., 1968, 76, No 3, 362—367 ...

1971  6 books

Рюэль Д. Статистическая механика. Строгие результаты  - Page 355, 356

Пер. с англ. И.Д. Новикова и В.М. Герцика. Под ред. Р.А. Минлоса. М.: Изд-во Мир , 1971. 367 с. Книга Рюэля является первой в мировой литературе ...

Вассерштейн Л. Н. [1] Марковские процессы на счетном произведении пространств, ...

Arithmetic groups - Page 117

James E. Humphreys   Courant Institute of Mathematical Sciences, New York University, 1971 - 121 pages ISBN: 0387099727

Vaserstein

MR0339966 \cyr Matematika: Periodicheskiĭ sbornik perevodov inostrannykh stateĭ. Tom 15 (1971), \cyr vyp. 6. (Russian) [Mathematics: Periodical collection of translations of foreign articles.

Vol. 15 (1971), no. 6] Izdat. Mir'', Moscow, 1971. 166 pp. 00A10

\cyr Matematika: Periodicheskiĭ sbornik perevodov inostrannykh stateĭ 15, vyp. 1. (Russian) [Mathematics: Periodical collection of translations of foreign articles

15, no. 1] Izdat. Mir'', Moscow, 1971. 160 pp. 00A10

Модули - Issues 1-4 - Page 4

Институт математики (Академия наук СССР. Сибирское отделение)

9А28в) 14. БУРБАКИ Н. Коммутативная алгебра. М, 'Мир', 1971. 707 с. 15. ВАССЕРШТЕЙН Л.Н. О стабилизации в алгебраической К-те- ории. - 'Функцион. анализ и его прил.', 1989, т. 3, вып. 2, с. 85-88. (РЖМат, 1989, 10А215) 18.

Introduction to Algebraic K-theory - Page vii

John Willard Milnor - 1971

86 (1967), 16-73 R. Swan, Algebraic K-theory, Lecture Notes in Math. 76, Springer 1968- R. Swan (with E. G. Evans), K-theory of finite groups and orders, Lecture Notes in Math. 149, Springer 1970. L. N. Vaserstein, On the stabilization of the ...

1972   6 books

Séminaire de probabilités VI: Université de Strasbourg  1971/72, Volume 11 -  Page 286, 290

Springer - 1972 - 253 pages Lecture Notes in Mathematics 258

References. M. DOBRUSIN, R. L. : Description of a random field by means of conditional probabilities and conditions of its regularity. ... WASSERSTEIN, L. N. : Probl. peredaci informacii 5,3 (1969), 64-73.

Introduction to Algebraic K-Theory  By JOHN W AUTOR MILNOR  Princeton University Press 1972 - Page viii

Vaserstein

MR0352037  \cyr Osnovy teorii chisel. (Russian) [Fundamentals of number theory] Translated from the English by L. N. Vasseršteĭn and A. N. Paršin.

Edited by I. I. Pjateckiĭ-Šapiro. Izdat. Mir'', Moscow, 1972. 408 pp. 12-XX

Челябинская областная универсальная НАУЧНАЯ  БИБЛИОТЕКА

Методы решения задач развития и размещения производства [Текст] / Л. Н. Вассерштейн, В. И. Геминтерн, Э. Б. Шерман. - М. : Информэлектро, 1972. 45 с.

Вассерштейн Л. Н., Геминтерн В. И., Шерман Э. Б

1972

АЛГЕБРАИЧЕСКИХ МНОГООБРАЗИИ Л. Н. ВАСЕРШТЕЙН (Москва) ОСНОВЫ АЛГЕБРАИЧЕСКОЙ /С-ТЕОРИИ О различных определениях Кп -функторов и свяаях между ними. А. И. ВЕКСЛЕР (Ленинград) О РАЗЛОЖИМОСТИ ...

Phase Transitions and Critical Phenomena - Volume 10

Cyril Domb, ‎Melville S. Green - 1972

1973  7 books

Theoretical and Mathematical Physics - Volume 12 - Page 703

1973

To prove that the left-hand side in (2.4) majorizes the Wasserstein distance (see [9]), note that for any ...

Hermitian K-theory and geometric applications: -  Page 125, 156, 212

proceedings of the  conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972 Hyman Bass - 1973 - 572 pages

Vaserstein

Séminaire de probabilités VII: Université de Strasbourg 1971/72, Vo;une 11 - Page 286

edited by A. Dold, B. Eckmann

Paul André Meyer - 1973 - 322 pages Lecture Notes in Mathematics 321

idea of WASSERSTEIN

David H. Sattinger Springer-Verlag, 1973 - - 190 pages

Vaserstein

Proceedings of the Conference on Orders, Group Rings and Related Topics / Edition 1 by J. S. Hsia (Editor), M. L. Madan (Editor), T. G. Ralley (Editor)

1973 - Springer       Institute in Seattle, Washington, August 28- September 8, 1972).

Stability for K 2 R Dennis

[14] LN Vaserstein, On the stabilization of the general linear grOup over

a ring~ Mat. Sbornik 79 (1969), 405-424 (Amer. Math. Soc. Translation v. 8, 383-4oo. ) ...

James W. Brewer, ‎Edgar A. Rutter - 1973

Dubriel-Pisot. t. l4 , 1960-l96l, no. 2 . Seshadri, C. [Ses] "Triviality of Vector Bundles over the Affine Space K^" Proc. Nat. Acad. Sci. 44(l958), 456-458. Vaserstein, L. [Vas] "Stable Rank of Rings and Dimensionality of Topological Spaces?

1973

11971, No 10, 95 — 107 143. Докл. II Всес. совёщ. по статиетич. методам теории управл. Ташкент, 1970. М., «Наука», 1970 144. Реф. докл. V Всес. совещ. по проблемам управл. М., «Наука», 1971 145. Васерштейн Л. Н. Марковские ...

1974 8 books

1974

The definitive form (above) of (b) is due to Vasserstein [Va] . It is by far the most difficult of the results I shall discuss here. Its proof is too long and technical to give in detail within the scope of these lectures. The proof of (a), which is quite easy, ...

Bulletin signalétique:   - Page 291, 312

Informatique, automatique, recherche opérationnelle, gestion, Volume 35, Issues 1-7061

distance de Wasserstein

Introduction to some methods of algebraic K-theory - Page 8

Hyman Bass, Conference Board of the Mathematical Sciences - 1974 - 68 pages

Volume 20 of Regional Conference series in mathematics

The definitive form (above) of (b) is due to Vasserstein [Va] . It is by far the most difficult of the results I shall discuss here. Its proof is too long and technical to give in detail within the scope of these lectures.

Lecture notes on discrete Markov systems - Page 57, 70

Volume 10 of Carleton mathematical lecture notes

D. A. Dawson - Carleton University, 1974 - 144 pages

Vasserstein metric

Snirman, Vasserstein, Leontovich and others have shown that li^pi £ 2 . Furthermore there exists 6 ...

# Matematicheskie metody v ėkonomicheskikh issledovanii︠a︡kh [Sbornik stateĭ - Page 138, 143, 172

cyr Matematicheskie metody v èkonomicheskikh issledovaniyakh. (Russian) [Mathematical methods in economic research] Supplement to Èkonom. i Mat. Metody.

Edited by E. G. Golʹšteĭn. \cyr Seriya "\cyr Optimalʹnoe Planirovanie i Upravlenie''. [Optimal Planning and Control Series] Izdat. Nauka'', Moscow, 1974. 172 pp. 90-06

Методика разработки оптимальных перспективных планов  развития, специализации и размещения производства в электротехнической промышленности - Kazakevich, David Moiseevich. Page 4, 114

Moskva : OVNIIĖM (Informėlektro), 1974.  114 pages

13. Березин А. А. Факторы, влияющие на размещение подотраслей электротехнической промышленности. — «Электротехн. пром-сть. Сер. Общеотраслевые вопросы», 1972, вып. 378. 14. Вассерштейн Л. Н., Геминтерн В. И., ...

Robin Hartshorne - 1974

Suslin-Vaserstein all announced important progress, The detailed history is very well portrayed in Bass' paper [2]; the reader may also find there a very complete exposition of the new results, (The material exposed here comes, in fact, from ...

1974  Department of Mathematics, Carleton University,

... and N(a) = fa, a +l) • The measure 6^ is clearly an invariant measure. In a series of papers ([1.11], [1.231, [1.25], [1.28], [1.29], [l.2l], [1.26], [l.3l] Snirman, Vasserstein, Leontovich and others have shown that li^pi £ 2 . Furthermore there exists 6 ...

1975  10 books

Летопись Журнальных статей - Issues 40-52 - Page 79

1975

... Я. 175532 Васенко С. А. 165373 Васерштейн Л. Н. 147684 Васецкая M. Н. 139734 Васечко Г. И. 175584 Васечко Ю. А. 142379 Василев В. А. 148133 Василев С. 160531а Василевская В. К. 161551

Abstracts and summaries of reports by participants and observers

by U.S.-Japan Seminar on Applications of Automorphic Forms to Number Theory Ann Arbor, Mich.

1975

Limit theorems of probability theory - Page 152, 162

Volume 11 of (Colloquia mathematica Societatis János Bolyai)

North-Holland Pub. Co., 1975 IEEE, 1975 - 420 pages

Wasserstein - distance

APPLICATIONS (a) The Wasserstein metric.

IEEE transactions on communications: Volume 23

Vasershtein

Computer and information systems: Volume 14  1975 Cambridge Scientific Abstracts.

conference held January 7, 8, 9, 1975 Western Periodicals Co.2975 ,

The mismatch bound is in terms of a measure of the distance between random variables which is a generalization of the Vasershtein

distance [ 1, 2] and a special case of the P distance between random processes [ 3] .

Algebraic Geometry: Arcata 1974 - Page 111, 112, 114

edited by Robin Hartshorne, American Mathematical Society 1975

Suslin-Vaserstein all announced important progress.

Vsesoiuznyĭ algebraicheskiĭ simpozium:  - Page 352, 353

30- iiunia - 2 iulia 1975 g. : tezisy dokladov, Volume 2

Вассерштейн Л.Н.Стабильный рант колец и размерность топологических пространств, Функц. анализ, 1971,5,12,17-27. 4. Вассерштейн Л.Н.,Суслин А.А. Проблема Серра о проективных модулях над кольцами многочленов и ...

Issue 42 of Queen's papers in pure and applied mathematics - Page 1, 3, 45, 59

A. V. Geramita editor

Kingston, Ont. Queen's University 1975 268 pages

Peterson's Annual Guides/graduate Study - Page 424

Amitai Regeu, Ph.D., Hebrew of Jerusalem. Ring theory, combinatorics. Donald C. Rung, Ph.D., Notre Dame. Analysis, complex variables. Stephen G. Simpson, Ph.D., MIT. Logic, recursion theory. Leonid N. Vaserstein, Ph.D., Moscow. Algebra ...

1976

Introduction to ergodic theory: - Page 15

- Princeton University Press 1976 - 144 pages

Wasserstein

Coupling methods for Markov processes - Page 24, 45, 71

David Scott Griffeath - 1976 - 158 pages

Once again, straightforward computations show that (l6) leads to a coupling, the version for Markov processes of a more general construction due to

Vasershtein; call it the Vasershtein coupling.

Soviet electrical engineering: Volume 46, Issues 7-12  1976. Page 103, 104, 111

1975 Allerton Press, 1976

PARAIEETRIC NODELS FOR OPTII-'IIZING FUTURE INDUSTRY-WIDE PLANNING

L. N. Vasershtein, Yu. A. Rudnev, and E. B. Sherman Eiektrotekhnika, V01. 46, No. T1, pp. 57-59, T975 UDC 65.0T2.2 Fundamentally new parametric models ...

Proceedings of the 1975 IEEE-USSR Joint Workshop on Information Theory, December 15-19, 1975, Moscow, USSR  - Page 48, 49, 63

The V distance can also be interpreted as a natural adaptation of the Vasershtein distance [22] to random processes.

convergence of laws on metric spaces, with a view to statistical testing

Wasserstein norm

University of Wisconsin--Madison, 1976 - John David Prange - 402 pages

The basic result used in the dual operator approach is due to Vasershtein and ...

Geometric algebra over local rings - Page 415

Bernard R. McDonald M. Dekker, 1976 - 421 pages

Vaserstein

Algebraic K-theory: proceedings of the conference held at Northwestern University, Evanston, January 12-16, 197677, 78, 153

Michael R. Stein Springer-Verlag, 1976 - 409 pages

Vaserstein

Proceedings of symposia in pure mathematics - Volume 28 - Page 47, 49

1976

L. N. Vaserstein and A. A. Suslin, Serre's problem on projective modules over polynomial rings and algebraic K-theory (announcement) (to appear) (Russian). X. Finite groups (M. Asbacher). The major problem in the theory of finite groups is ...

Annual report - Page 12

In 1973, following a period of intense activity, three young Soviet mathematicians, A. A. Roitman, V. N. Suslin, and L. N. Vaserstein contributed significantly to important extensions, including the cases n ^ 4. Some of this work extends ...

Newsletter - Volumes 11-15 - Page 181

In l973, following a period of intense activity, three young Soviet mathematicians, A. A. Roitman, V. N. Suslin, and L. N. Vaserstein contributed significantly to important extensions, including the cases n < 4. Some of this work extends ...

Soviet Electrical Engineering - Volume 46 - Page 104

1976

PARAIEETRIC NODELS FOR OPTII-'IIZING FUTURE INDUSTRY-WIDE PLANNING L. N. Vasershtein, Yu. A. Rudnev, and E. B. Sherman Eiektrotekhnika, V01. 46, No. T1, pp. 57-59, T975 UDC 65.0T2.2 Fundamentally new parametric models ...

1977

Автоматизация плановых расчетов:  - Page 132

(Опыт использования ЭВМ в практике планирования)

Илья Павлович Романенко  Экономика, 1977

Avtomatizatsiia planovykh raschetov

by Romanenko, Il'ia Pavlovich 144 pages

Амосенок Э. П., Акбулатова М. Н., Васерштейн Л. Н: и др. Проблемы оптимизации перспективного планирования в электротехнической промышленности. М., Информэлектро, 1974.

by Bulatov, V. P 1977

Васерштейн

Quantitative Wirtschaftsforschung: - Page 200, 203, 205

Wilhelm Krelle zum 60. Geburtstag

Wilhelm Krelle, ‎Horst Albach, ‎Ernst Helmstädter - 1977

auf £ und eine stetige Funktion / auf £ gilt nach einem Lemma von Vasser- stein \ifdß-ifdv\^liPa(f)\na(l)-y.(l)\. amA Dabei ist Pa(f) = s\ip\f(x)-f(y)\, x.y X~y und x~y bedeutet x(b) = y(b) für alle b4=a; (Vasserstein [1969]). Wenn wir das auf die ...

ACM Guide to Computing Literature - 1977 - 1695 pages

Robert M. Gray, Lee D. Davisson - 1977 - 387 pages

As suggested by Kailath (1973), p" can be interpreted as the Vasershtein distance (Vasershtein (1969)) between [is and // with ... Hence Theorem 1 demonstrates the equivalence of the p distance with the appropriate Vasershtein distance.

The Annals of probability: Volume 5 - 1977 - Page 678, 692

Vasershtein

Controlled spin-flip systems - 1977 - 104 pages - Page 52

Vasershtein

Department of Electrical Engineering and Computer Sciences, Johns Hopkins University, 1977

Abstract The Bhattacharyya, l—divergence, Vasershtein, variational and Levy distances are evaluated, compared and used for the reduction of n data to one feature.

Annales: Calcul des probabilités et statistique - Volume 13 - Page 157

Institut Henri Poincaré - Gauthier-Villars., 1977

A. L. Toom, Nonergodic multidimensional systems of automata. Problemy Peredachi Informatsii, t. 10, no. 3. 1974. p. 229-246. [12] L. N. Vasershtein, A. M. Leontovich, Invariant measures of certain Markov operators describing a homogeneous ...

Cornell University - 1977

... Fall Term Vaserstein, Leonid Academic Year Villareal, Ruben L 2/1/79- 12/21/79 Vietorisz, Thomas 1/10/80-5/31/80 Vladeck, Judith 10/18/79-6/16/80 Voight, K 6/25/80-8/8/80 Wagner, Cyrus H Academic Year Ward, Larry D Academic Year ...

Modular functions of one variable: - Page 192

proceedings international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976, Volume 2

Jean Pierre Serre, ‎Don Bernard Zagier - 1977

This theorem is proved in [4] and depends on Vaserstein's theorem cited above [12]. The proof being long and very technical will not be reproduced here. However in the particular case q = 1 it can be proved rather shortly. Let us now put ...

Итоги науки и техники: - Volume 15 - Page 63

1977

О суммах модулей коэффициентов некоторых модулярных форм. Сообщ. АН ГрузССР, 1955, 16, No 7, 497—502 (РЖМат, 1956, 3620) 22. Васерштейн Л. Н., О группе З1-2 над дедекиндовыми кольцами арифметического типа.

Абрамов В. В., Крумм Л. А., Мурашко Н. А. Комплексная оптимизация режима и состава работающего оборудования сложных ... Моисеев Н. Н. Нелинейное программирование. ... 43. Васерштейн Л. Н., Чмиль В. И., Шерман Э. Б. 153.

1977

Мальцев В.Н. .Аветисян А. Г. Информационные следящие системы в планировании и управлении. -"Пром- сть Армении", Ереван, ... Васерштейн Л.Н.,Шерман Э.Б. Проблемы формирования вариантов развития и специализации ...

Васерштейн Л. Н., Руднев Ю.А.,Шерман Э.Б. Параметрические модели развития и размещения производства .- "Экономика и мат .методы" , 1977 , т . 13, вып. 5, с . 1008- 1021 .

Летопись журнальных статей - Issues 5-7 - Page 24

1977

23321. Васерштейн Л. Н. Основы алгебраической К-теорнн. — Успехи мат. наук, 1976, т. 31, вып. 4 ©, с. 87—149. Список лит.: 126 назв. 23322. Васин В. В. Метод невязки и конечномерная аппроксимация приближенных решений ...

Летопись Журнальных статей - Issues 1-13 - Page 73

1977

Ресуеил матхéматикуе де ла Социéтé матхéматикуе де

Москоу, Volume 102; Volume 144 - Page 550, 598

1977

Васерштейн Л. Н. Конгруэяцпроблема для унитарной группы ранга, большего или равного 2, 76(113) (1968), 362— 367. Васерштейн Л. Н. О группе над дедекиндовыми кольцами арифметического типа, 89(131) (1972), 313—322.

Экономика и математические методы - Page 821, 1021, 1132

1977

Л. Н. Васерштейн, Ю. А. Руднев, 9. Б. Шерман. Сущность и основные направления параметрического подхода к задачам развития и размещения производства. В сб. Проблемы оптимизации перспективного планирования в ...

1978  12 books

### Cybernetics Abstracts - Issues 1-4 - Page 28

1978 -

Authors' abstract 3 T702 Vasershteyn LN., Rudnev Yu.A., Sherman E.B. PARAMETRIC MODEL OF INDUSTRY GROWTH AND LOCATION "Ekonomika i mat. metody", 1977, 13, No. 5, 1008-1021 (Russian) 3 T703 Litvinchuk G.S., Karlovich Yu ...

Locally Interacting Systems and Their Application in Biology: - Page 36, 55

Proceedings of the School-Seminar on Markov Processes in Biology, Held in Pushchino, Moscow Region, March, 1976

Roland L. Dobrušin, V. I. Kriukov, A. L. Toom

Springer-Verlag, 1978 - 202 pages

Vasershtein

Volume 2 of Integer programming and related areas

Lecture notes in economics and mathematical systems ; 160 : Operations research

Volume 160 of Lecture notes in economics and mathematical systems

Dirk Hausmann Springer-Verlag, 1978

Knn-regular curves

Vorst, Antonius Cornelis Franciscusr  PhD in Mathematics   1978

the University of Utrecht  under supervision of Jan Rustom Strooker and Wilberd van der Kallen.

Vaserstein

Application of mathematical methods and computers in social sciences :

international bibliographical index, 1975-1977

by European Coordination Centre for Research and Documentation in Social Sciences  1978

Matekon - Volume 15 - Page 64

1978

L. N. Vasershtein and E. B. Sherman, "O formirovanii variantov v ... 11, no.

Studies in probability and ergodic theory    Page 14, 26, 39

Gian-Carlo Rota - Academic Press, 1978 - 293 pages

Note that the classical coupled process is "weaker" than the Vasershtein coupled process since the former moves from (x, y) $A ... In fact, the Vasershtein coupling is characterized by the property that at each step it sends us to the diagonal as ... Locally interacting systems and their application in biology: - Page 55, 112 proceedings of the School-Seminar on Markov Interaction Processes in Biology, held in Pushchino, Moscow Region, March 1976 R. L. Dobrushin, V. I. Kriukov, A. L. Toom - Springer-Verlag, 1978 - 202 pages Lecture notes in mathematics 653 Vasershtein L.N., Markov processes on a conutable space product describing large automata systems, Problemy Peredaci Informacii, 5_, (1969) , vyp. 3, 64-72. MR0536824 (81e:60003) Szulga, Alicja On the Wasserstein metric. Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1978), Vol. B, pp. 267--273, Reidel, Dordrecht-Boston, Mass., 1978. (Reviewer: V. J. Paulauskas) 60B05 (90A05) Ergodic theory and information - Page 129 Patrick Billingsley - 1978 Книжная летопись: Дополнительный выпуск - Issues 10-12 - Page 31 1978 24 с.; 20 см. — 17 к. 1.500 экз. — [78-37466] оп 389.1:620.9(083.131) ч 23.1.1 Экономика энергетики 12763. Васерштейн Л. Н. и др. Параметрические модели развития и размещения производства / {Васерштейн Л. Н., Руднев Ю. А., ... 1978 116-122. Задачи календарного планирования. 185. Васерштейн Л. Н., Руднев Ю. А. .Шерман Э.Б. Параметрические модели развития и размещения производства. -"Экономика и мат. методы" , 1977 ,т . 13. вып. 5 ,с. 1008- 1021. 186 ... 1979 14 books proceedings, University of Waterloo, Canada, 12-16 June 1978 Springer-Verlag, 1979 - Lecture Notes in Mathemstics 734 352 pages For example, if X is a topological space, Vaserstein [26] has proved that s. r. (A) = 1+dim X for A the ring of continuous functions on X. H. C. P. Berbee - 1979 - 223 pages Vasershtein The stochastic time evolution of Gaussian interacting systems - Page 91 Cheng-tan Hsiao Cornell University, Aug., 1979 - Mathematics - 182 pages Wasserstein Distance Vallander, S. S., Calculation of the Waser stein Distance Between Sūri kagaku kōkyūroku: Volumes 371-374 - Page 124 Wasserstein By Joseph J. Rotman Academic Press 1979 R. Treger told me of Vaserstein's proof of Suslin's solution of Serre's problem, and was kind enough to translate it for me from the Russian. Remarkably, the problem was solved simultaneously, in January 1976, by Quillen in the United States and Suslin in the Soviet Union. We first present Vaserstein's version of Suslin's proof ; afterwards, we shall outline Qui1len's solution. David Griffeath - 1979 Lecture notes in mathematics 724 L. N. Vasershtein (1969). Markov processes over denumerable products of spaces IEEE International Symposium on Information Theory - Page 135 THE VASERSHTEIN DISTANCE AS THE STABILITY CRITERION IN ROBUST ESTIMATION, P. Papantoni-Kazakos (School of Engineering, U-l57, University of Connecticut, Storrs, Connecticut 06268). In the models used by Hampel as well as Commutative rings whose finitely generated modules decompose - Page 28, 46, 105, 106 Willy Brandal - 1979 L. N. Vasershtein (1969). Markov processes over denumerable products of spaces, describing large systems of automata, Problemy Peredachl Informatsll 5 (3), 64-73. L. N. Vasershtein and A. M. Leontovlch (1970). Invariant measures of ... Modern Differential Geometric Techniques in the Theory of Continuous Distributions of Dislocations Albrecht Dold, ‎Frederick Bloom - 1979 3540095284, 9783540095286 For example, if X is a topological space, Vaserstein [26] has proved that s . r . (a) = 1+dim X for A the ring of continuous functions on X. The connection between stable rank and more traditional concepts of dimension is given by the following ... Homological Group Theory - Page 136 C. T. C. Wall. [6°] [61] Notes in Math. 386, Springer-Verlag (1974). J. Tits. On buildings and their applications, Proc. Int. Congress _Mgth_., Vancouver (1974), t. 1, 209-20. L. Vaserstein. On the group SL2 over Dedekind rings of arithmetic type, ... 1979 Notes in Math. 386, Springer-Verlag (1974). J. Tits. On buildings and their applications, Proc. Int. Congress Math. , Vancouver (1974), t. I, 209-20. L. Vaserstein. On the group SL2 over Dedekind rings of arithmetic type, Math. USSR Sbornik 18 ... The Soviet Review - Volume 20 - Page 44 1979 18. Matematiko-ekonomicheskie metody i modeli (biblio- graficheskii ukazatel'), Leningrad, "Nauka" Publishers, 1968. 19. W. Zassman and E. Kummerow, Produktsionplanopti- mierung, Berlin, Verlag die Wirtschaft, 1977. 20. L. N. Vasershtein ... Preprint Series: Mathematics - Issues 1-5 - Page 50 [50] L.N. VASERSHTEIN: "Markov Processes over a Countable Product Space describing large Systems of Automata". Prob. in Trans of Information, Vol. 5, no 3, 64-72 (1969) (Enlish translation) [51] M. LOEVE: "Probability Theory" . Van No ... Planovo stopanstvo - Volume 34 - Page 48 1979 Васерштейн, В. А. Руднсв и др., Параметрнческие молели развития и размещения производства, „Зкономика и математические методи", т. XIII, кн. 5, 1977 г.: Кр. Радева, Б. Данкова, Оптимално райониране на производствените ... 1980 15 books THE DOBRUSHIN UNIQUENESS THEOREM AND ITS APPLICATION TO THE CLASSICAL N-VECTOR MODELS by LEVIN, STEVEN LEE Princeton University, 1980 The one-component result leads us to our main objective in this thesis: to derive the mean field condition on the uniqueness of the equilibrium state for the classical N-vector models, N > 2. Applying Dobrushin's uniqueness theorem to these models, we are able to obtain the mean field result up to a constant numerical factor. The essential ingredient in our analysis is an estimate of the Vaserstein distance between single-site Gibbs states corresponding to different exterior spin configurations. Arithmetic groups - Page 156 by Humphreys, James E Lecture notes in mathematics 789, 1980 Einführung in die kommutative Algebra und algebraische Geometrie - Page 105 Ernst Kunz - 1980 ... Homomorphismus M(r x t; R[X]) -* M(r x t; Rs [X]) in die Nullmatrix über. Es gibt daher nach III.4.1 ein s G S, welches alle Koeffizienten der Matrix annulliert. Dann ist aber Ai(sX)A2(sX)-A3(sX) = 0. Satz 1.18: (Vaserstein) A G M(r x s; ... Quantum fields: algebras, processes - Page 297 Ludwig Streit - 1980 We have thus shown: Theorem (3.5) Under (D) the unique Gibbs state P € G(tt) has the global Markov property. Remark (3.6) The same argument holds if we define agfc in terms of a Wasser- stein distance and replace (D) by conditions (5.2), ... Vasershtein The Soviet review: Volumes 20-21 1980 - Page 44  LN Vasershtein and EB Sherman, "O formirovanii variantov v diskretnykh zadachakh optimal'nogo otraslevogo planirovaniia," Ekonomika i matematicheskie metody, 1975, vol. 11, no. 4. 21. Multicomponent random systems Page 42, 58, 468, 502, 574 R. L. Dobrushin, Akov Grigorʹevich Sinaĭ, David Griffeath - Marcel Dekker, 1980 - 606 page SK1 von Schiefkörpern:, Martin Kneser - Springer-Verlag, 1980 - 123 pages - Page 108 Markov random fields and their applications - Page 141 Ross Kindermann, James Laurie Snell, American Mathematical Society, 1980 - 142 pages Vasershtein, L.N. (l969) : "Markov processes over ... Publications - Volumes 25-27 - Page 30, 40 Wasserstein distance Biological growth and spread: - Page 144 mathematical theories and applications : proceedings of a conference held at Heidelberg, July 16-21, 1979 Willi Jäger, Hermann Rost, Petre Tăutu Springer-Verlag, 1980 - Science - 511 pages Vasserstein Wasserstein Экономика и математические методы - Volume 16 - Page 745 1980 Многоуровневые системы отраслевой оптимизации. Новосибирск, «Наука», 1975. 5. Л. Н. Васерштейн, В. И. Геминтерн, Э. Б. Шерман. Методы решения задач развития и размещения производства. М., 1972 (Информэлектро) . ALGEBRA, TEORIJA ČISEL I ICH PRILOŽENIJA - Page 267 Sergei Mikhailovich Nikol'skii - 1980 L. N. Vaserstein and A. A. Suslin, Serre's problem on projective modules over polynomial rings, and algebraic K-theory, Izv. Akad. Nauk SSSR Ser. Mat. 40 (1976), 993-1054; English transl. in Math. USSRIzv. 10(1976). 7. Richard G. Swan and ... Летопись журналńых статей - Issues 10-18 - Page 65 1980 ... 56271 Варшавский В. Я. 44490 Варшавский П. Т. 39039 Варшавский Ю. С. 47136 Варшавчик М. А. (42456) Варшал Б. Г. 56283 Варшалович Д. А. 54854 Варюхин В. А. 37218 Васев А. В. 52043 Ваоенков Н. В. 37854 Васерштейн Л. 1981 19 books Normal subgroups of four-dimensional hyperbolic orthogonal groups over arithmetic domains by Pilkington, Anne Bernadette University of Notre Dame, 1991 Let R be a commutative ring and let M be a finitely generated projective module over R with quadratic form q:M$\to$R. Vaserstein (12... Vasershtein DOBRUSHIN UNIQUENESS TECHNIQUES AND THE DECAY OF CORRELATIONS IN CONTINUUM STATISTICAL MECHANICS by KLEIN, DAVID MICHAEL Cornell University, 1981 This thesis extends the results of L. Gross' paper, "Decay of Correlations in Classical Lattice Models at High Temperature" {Commun. Math. Phys. 68, 9-27... Research Publications and Professional Activities - Page 164 Proc. Am. Math. Soc. 75:23l-234 (l979): Singh, S. An R-Stable ANR Which Is Not FR-Stable. Fund. Math. lD3:l77- l34 .(l979). Vaserstein, L. N. On Systems of Particles with Finite-Range and/or Repulsive Interactions. Commun. Math. Phys. Algebra Omologica in “Enciclopedia Italiana - V Appendice” – Treccani Enciclopedia Italiana - V Appendice (1991) ..... teorema furono date successivamente da A. A. Suslin (maggio 1976), e da L. N. Vaserstein nello stesso anno. Prove elementari di questo teorema furono date successivamente da A. A. Suslin (maggio 1976), e da L. N. Vaserstein nello stesso anno Random fields: - Page 250, 367, 369, 371 rigorous results in statistical mechanics and quantum field theory, Issue 27, Volume 1 J. Fritz, Joel Louis Lebowitz, D. Szász - North-Holland Pub. Co., 1981 1111 pp rigorous results in statistical mechanics and quantum field theory J. Fritz, Joel Louis Lebowitz, D. Szász ... Assume that a uniform Dobnishin — Wasserstein condition (15) a = sup 21 a (/, A:) < 1 holds, and that the dependence in P on the ... Vaserstein American Mathematical Society Translation - Page 11 1981 Vaserstein [4], for example, proved s.r. R[XU . . . , Xn] = n + 1; however for the field C topological methods allow us to establish the inequality s.r. C[Xv . . . , X„] > 1 + n/2. The pi value of the stable rank of a polynomial ring of two variables is ... ... the corresponding versions of the Blackwell-Orey equivalence, and to prove criteria of Dobrushin-Wasserstein type. ... and the probability of ultimate extinction is approximated using a diffusion approximation with the backward diffusion ... Proceedings of the Conference on Probability Theory Page 140, 149, 152, 159 (6 pages) The Vasershtein metric, which we denote by Ar, is defined by Ar(n, v) = inf U S(x, y)p(dx, dy) where the infimum is taken over all couplings p. of ^ and ... For more facts about the Vasershtein metric see Vasershtein (1969) and Dobrushin (1970). Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics - Page 1, 19, 20, 67 David Michael Klein Cornell University, Aug., 1981 - Science - 134 pages Following Gross [6] and Vasershtein [17], we manipulate these inequalities in matrix form. Eight lectures delivered at the Inernational Congress of Mathematicians in Helsinki By G. S. Makanin, Lev IAkovlevich - Page 11 Algebraic K-Theory. Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24-27, 1980 - Page 247, 465 Eric M. Friedlander Springer, May 26, 1981517 pages Inst. Steklov (LOMI) 64^ (1976), 131-152. (Russian). [13] L.N. Vaserstein, On the group ... Methods of representation theory- Page 77, 81, 82, 129, 941, 947 with applications to finite groups and orders Volume 2 1987 Charles W. Curtis Wiley, 1981 - 951 pages In (44.17), we shall prove: (40.44) Injective Stability Theorem (Bass, Vaserstein). If the ring A has stable range d, then EH(A) = GL„(A)r\E(A) < GLn(A) for n>d+\, and there is an isomorphism The map GLn{A)-*Kx(A) is obviously surjective for n ... Abstracts of papers presented to the American Mathematical Society - Volume 3 - Page 164 (Received January 11, 1982 ) 793-20-70 L. N. VASERSTEIN, Department of Mathematics, PennijlTania State UniTersity, University Park, PA 16802. Cluneal groupt over rinjt. • The classical groups over rings include the general linear groups Analele științifice ale Universității "Al. I. Cuza" din Iași: - Page 211 Matematică, Volumes 27-28 H. Dayton, E. M. Friedlander & B. Parshall, H. Gillet, D. R. Grayson, D. Guin- Walerv &".J. -L. Lodav, W. van der Kallen, C. Kassel, J. -L. Loday, R. J. MiUram, R. Oliver, S. Priddy, C. Sherman, C. Soule (2), J. Stienstra, L. N. Vaserstein, C. A. ... Revue roumaine de mathématiques pures et appliquées - Volume 26, Issues 6-10 - Page 1090 ... coupling and since Vasershtein seems to have been the first to construct this coupling we call it Vasershtein's diagonal coupling [63]. We shall usually denote it by fe. The next little lemma is basic in the theory of couplings. Lemma 3.1. Lecture notes in mathematics - Issue 882 - Page 268 Albrecht Dold - 1981 106, 1977, 599-612. 11 R. G. Swan, Projective modules over group rings and maximal orders, Ann, of Hath. 76, No. 1, 1962, 55-61. 12 L. K. Vaserstein, On the stabilization of the general linear group over a ring, Hath. USSR, Sbornik 8, 1969, ... American Mathematical Society translations - Volume 117 - Page 12 L. N. Vaserstein, 77ie stable rank of rings and the dimension of topological spaces, Funkcional. Anal, i Prilozen. 5 (1971), no. 2, 17-27; English transl. in Functional Anal. Appl. 5 (1971). 5. , On the stabilization of the general linear group over a ... proceedings of a conference held at Oberwolfach, Germany, June 22-28, 1980 Klaus W. Roggenkamp - 1981 Volume 882 of Lecture notes in mathematics 106, 1977, 599-612. 11 R. G. Swan, Projective modules over group rings and maximal orders, Ann, of Math. 76, No. 1, 1962, 55-61. 12 L. N. Vaserstein, On the stabilization of the general linear group over a ring, Hath. USSR, Sbornik 8, 1969, ... ... долгосрочного плана развития промышленных узлов в Литовской ССР. — Экономика и математические методы, 1975, т. XI, вып. 4. 29. Бусленко И. П. Моделирование сложных систем. М.: Наука, 1968. 30. Васерштейн Л. 1982 19 books Перспективное планирование в угольной промышленности - Page 170 Иван Петрович Ромашкин - 1982 ... программирование и множители Лагранжа. — Экономика и математические методы, 1974, No 3, с. 592—610. 37. Вассерштейн Л. И., Руднев Ю. А., Шерман Э. Б. Параметрические модели развития и размещения производства. ON THE JACOBIAN PROBLEM by NOUSIAINEN, PEKKA SAKARI The Pennsylvania State University, 1982 Let C('n) denote the n-dimensional complex affine space. A map (phi):C('n) (--->) C('n) is smooth if its Jacobian has rank n at each point. The Jacobian... Ph.D. committee member Vaserstein High temperature differentiability of lattice Gibbs states by Dobrushin uniqueness techniques - Page v, 5, 39, 40, … (11 pages) hetan Prakash Cornell University, 298 pages Jan., 1982 Vasershtein Планирование и организация воспроизводства основных фондов в промышленности by Иванов, Николай Иванович; Бреславцев, А.В; Левина, Е.В. Киев : Наук. думка, 1982 366 pages ## Planirovanie i organizat͡sii͡a vosproizvodstva osnovnykh fondov v promyshlennosti / [avtory N.I. Ivanov ... et al.]. Информационная база перспективного планирования в ОАСУ Экономика, 1982 - Database management - 207 pages The arithmetic theory of algebraic groups by VP Platonov - 1982 The major part of Humphrey's book [149] concerns the congruence problem, which is ...... Linear algebraic groups, W.A. Benjamin Inc., New York 1969. ... [17] L.N. Vasershtein, The group SL2 over Dedekind rings of arithmetic type, Mat. Sb. MR0662823 (83e:00003) Dieudonné, Jean Alexandre A panorama of pure mathematics. As seen by N. Bourbaki. Translated from the French by I. G. Macdonald. Pure and Applied Mathematics, 97. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. x+289 pp. ISBN: 0-12-215560-2 00A05. p.181 (L. Wasserstein), p,259 (P.Vaserstein). IEEE transactions on information theory: Volume 28 Jean-Michel Bismut, L. Gross, Klaus Krickeberg - 1982 - 313 pages Chetan Prakash - 1982 - 298 pages - Definition of Vasershtein Matrices Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin: - Page 88 proceedings, Paris 1981 (34ème année) Units in Whitehead groups of finite groups , Robert Oliver, Leonid Vaserstein Matematisk Inst., Univ., 1982 - 56 pages Units in Whitehead groups of finite groups. (English) Prepr. Ser., Aarhus Univ. 27, 56 p. (1982). MSC2000: *18F25 16E20 16S34 Algebraic K-theory - Page 73 proceedings of a conference, held at Oberwolfach, June 1980 Wasserstein Espacios simplécticos sobre [beta]-anillos y anillos de Hermite, tra[n]svecciones simplécticas - Page 39, 68 Vaserstein MR0697232 American men and women of science: The physical and biological sciences, Volume 7; Volume 15, Issue 7 Bowker, 1982 Page 297 Wasserstein Итоги науки и техники: - Volume 20 - Page 71, 131 1982 ЛИТЕРАТУРА. 1. Бейлинсон А. А., Высшие регуляторы и значения /.-функций кривых. Функц. анализ и его прил., 1980, 14, No 2, 46—47 (РЖМат, 1980, 1 1А457) 2. Васерштейн Л. Н., К\ -теория и конгруэнцпроблема. Матем. заметки ... Информационная база перспективного планирования в ОАСУ Сергей Алексеевич Кузнецов, ‎Валерий Леонидович Макаров, ‎Валентин Давыдович Маршак - Moskva : Ėkonomika, 1982. ## Informat͡sionnai͡a baza perspektivnogo planirovanii͡a v OASU / S.A. Kuznet͡sov, V.L. Makarov, V.D. Marshak. Новосибирск: Наука, 1979. 4. Васерштейн Л. Н, Шерман Э. Б. Проблемы формирования вариантов развития и специализации производственных объектов в задачах оптимального отраслевого планирования. М.: Информ- электро ... Летопись журнальных статей - Issues 1-9 - Page 67 1982 Вараксин А. А. 20229 Варвак А. П. 8101 Варвак Л. П. 8101 Варвак П. М. 8101-02, 8759-61 Варвянский С. М. 7680 ... Васекина В. Ф. 25422 Васенин А. П. 6402 Васенин В. Л. 30369 Васенков Н. В. 16864 Васерштейн 3648 Василев В. А. 1983 19 books Исследование и разработка алгоритмов управления процессом штамповки радиоэлектронных панелей Попушкин, Александр Маркович — 05.13.01 — Харьков, 1983 ... .-M.s Сов.радио, т. 1, 1961, 782 с. 79. Вассерштейн JI.H. Марковские процессы на счетном произведении ... -497. 81. Валландер С.С. Вычисление расстояний по Вассерштейну между распределениями вероятностей. Теория ... Построение динамической модели развития и размещения производства при неполной информации (на примере нефтеперерабатывающей промышленности) Антонова, Елена Михайловна — 08.00.13 — Москва, 1983 ... нефтеперерабатывающей и нефтехимической промышленности. /СКБАНН, М., 1969, вып. 1-2, с. 28-41. 26. Вассерштейн Л., Шерман Э.В. Проблемы формирования вариантов развития и специализации ... ... . - Новосибирск.: Наука, 1978. - 126 с. 16. Вассерштейн Л., Шерман Э.В. Проблемы формирования вариантов ... Модели экономико-организационной части ОАСУ Лагоша, Борис Александрович — 08.00.13 — Москва, 1983 ... систем. М.: Наука, 1968. - 356 с. 46. Васерштейн Л.Н., Шерман Э.Б. О формировании вариантов в дискретных ... Skew Fields - Page 172 P. K. Draxl - 1983 SLn(D) = [A*,A*]EZI(A) if n z 2 (the case n = l is covered by Vaserstein's Lemma). Indeed, if the latter were false, Lemma 1 would imply that ZI(A) fi SLn(D) is a proper normal subgroup of SLn(D), hence (see Theorem 2 in §21.) z (A) n SL (D) c ... 1983 (1.4) A Theorem of Dennis [1] and Vasershtein [6] implies that the canonical homomorphism Kjfn^) » K^ln+^R) is surjective for n > 2, whereas from a theorem of Suslin and Tulenbaev [5] it follows that it is injective for n > 3. Equivalently , the ... Low Dimensional Topology - Page 162 Samuel J. Lomonaco - 1983 - B. Magurn, R. Oliver and L. Waserstein, "Units in Whitehead groups of finite groups", (to appear). 17. R. Oliver, "SK for finite group rings I", Invent. Math. 57 (1980), 183-204. 18. R. Oliver, "SK for finite group rings II", Math. Scand. 47 (1980) ... Probability Theory and Mathematical Statistics: - Page 97 Proceedings of the Fourth USSR-Japan Symposium Held at Tbilisi, USSR, August 23-29, 1982 Kiyosi Itō, ‎Uriĭ Vasilʹevich Prokhorov, ‎Jurii V. Prokhorov - 1983 Let 3V - {u*ZV : u^v, min |u- v| < k} v £V — be the boundary of a set V c Z . We denote by |w| the distance in some translation The term Vasserstein distance used in [4] is not justified by the history of the problem. V V V invariant metric on Z ... Abstracts of papers presented to the American Mathematical Society - Volume 4 - Page 524, 526, 632 Samuel J. Lomonaco, Jr., American Mathematical Society - 1983 B. Magurn, R. Dliver and L. Vaserstein, "Units in Whitehead groups of finite groups", (to appear). 17. R. Dliver, "SK. for finite group rings I", Invent. Math. 57 (1gBD), 1B3-2D4. 1B. R. Dliver, "SK, for finite group rings II", Math. Scand. 47 (1gBD) ... Introduction to robust and quasi-robust statistical methods - Page 205, 226 William J. J. Rey - 1983 - 236 pages Vasershtein distance Alexander S. Kechris, D. A. Martin, Yíannis N. Moschovakis - 1983 - 284 pages Lecture Notes in Mathematics, Issues 1019-1021 Vasserstein distance Low Dimensional Topology: Proceedings of the Special Session - Page 162 special session on Low Dimensional Topology organized and conducted by Dr. Lomonaco at the American Mathematical Society meeting held in San Francisco, California, January 7-11, 1981. B. Magurn, R. Dliver and L. Vaserstein, "Units in Whitehead groups of finite groups", (to appear). 1 Semi-infinite programming and applications: - Page 77, 82 an international symposium, Austin, Texas, September 8-10, 1981 Anthony V. Fiacco, K. O. Kortanek Springer-Verlag, 1983 - 322 pages Wasserstein distance Étude et calcul de quelques distances en probabilités et statistique et applications: séparation asymptotique des chaînes de Markov Bernard Garel Université scientifique et médicale de Grenoble, Institut national polytechnique de Grenoble, 1983 - 169 pages On étudie la distance de Prokhorov, la distance de Geffroy et la distance de Fortet-Mourier-Wasserstein. Lond Mathematical Society Lecture Note Series. 81 , Skew Fields - Page 172 SL (D) = [ A* ,A*] c z ( A) if n — I n ^ 2 (the case n = 1 is covered by Vaserstein's Lemma). Indeed, if the latter were false, Lemma 1 would imply that Ej(A) D SLn(D) is a proper normal subgroup of SLn(D), hence (see Theorem 2 in §21.) ET(A) fl ... MR0696937 Draxl, P. K. Skew fields. London Mathematical Society Lecture Note Series, 81. Cambridge University Press, Cambridge, 1983. ix+182 pp. ISBN: 0-521-27274-2 (Reviewer: Jean-Pierre Tignol) 16A39 (12E15 18F25) Экономико-математические модели в системе управления предприятиями - Page 171 Shubkina, I. P. Moskva : Izd-vo "Nauka", 1983. Оптимизационные и экономико-статистические методы в перспективном отраслевом планировании. Новосибирск: Наука, 1975. 18. Васерштейн Л. Н., Шерман Э. В. Проблемы формирования вариантов развития и специализации ... Ėkonomiko-matematicheskie modeli v sisteme upravleniia predpriiatiiami Очерки развития математики в СССР: - Page 211, 742 Ĭосип Захаровых Штокало, ‎Институт истории естествознания и техники (Академия наук СССР), ‎Инстытут историï (Академия наук Украïнськоï РСР). Сектор прыродознавства и техникы - 1983 Kiev : Nauk. dumka, 1983. 762 [ages Л. Н. Вассерштейн доказал, что определения Володина эквивалентны другим, алгебраическим, определениям нысших /Г-групп. Такую же прямую конструкцию, связывающую группы Уолла эрмитовой /Г-теорип с гомотопическими ... ... 692 Васильев В. А. 424 Васильев В. В. 459 Васильев В. Г. 352, 702 Васильев О. Ф. 731 Васильев Ф. П. 366, 499, 558, 712 Васильев Ю. Л. 547 Васильева А. Б. 296, 345, 577, 701, 726 Васпп В. В. 705 Вассерштейн Л. Н. 211 Ватажин ... Ocherki razvitiia matematiki v SSSR : teoreticheskaia matematika : prikladnye voprosy matematiki Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980 - Page 168, 197, 332, ... R. Keith Dennis - 1983 L. N. Vaserstein, On the stabilization of the general linear group over a ring, Mat. Sb. 79 (UV) ( 1969). No. 3 , 405-424 = Math. USSR Sb. 8 (1969) , No. 3, 383-400. 23. L. N. Vaserstein, Stabilization for classical groups over rings, Mat. Sb. 93 ... Introduction to robust and quasi-robust statistical methods - Page 226 William J. J. Rey - 1983 Papantoni-Kazakos P., The Vasershtein distance as the stability criterion in robust estimation, IEEE Trans. Inform. Theory, IT-26 (1980) 620-625. Papantoni-Kazakos P. and Kazakos D., Nonparametric Methods in Communication, Electrical ... Probabilites et applications, Volumes 1-5 1983 1 - RAPPELS SUR LA DISTANCE DE FORTET-MOURIER Soit (X,D) un espace métrique séparable que l'on ... Cette définition est souvent attribuée à Wasserstein quoique elle soit plus ancienne [11] ; en fait cette distance fut d'abord ... 1984 26 books ## Dinamika proizvodstvennykh obʺedineniĭ i modeli planirovanii͡a ikh dei͡atelʹnosti ## A.A. Modin, N.V. Makhrov, V.I. Danilin ; otvetstvennyĭ redaktor N.I͡A. Petrakov. Moskva : Izd-vo "Nauka", 1984. Вассерштейн Диссертация на тему «Стабилизация высшей К-теории Нестеренко, Юрий Петрович Ленинград 1984 www.dissercat.com › МатематикаTranslate this page 6. Вассерштейн Л.Н. 0 стабилизации общей линейной группы ... . Мат.сб., 1969, т.79, №3, с.405-434. 7. Вассерштейн Л.Н. О стабилизации для ^-функтора Милнора ... Noncooperative abstract games by Ferro C., José Joaquín M.A. Dissertation advisor: Vaserstein 1984 Pennsylvania State University Library Catalog HIGHER ORDER COHOMOLOGY OPERATIONS AND DESUSPENSION OF INVOLUTIONS by GOLSHAN, BAHRAM The Pennsylvania State University, 1984 The goal of this dissertation is to find an infinite family of counterexamples to the following statement: If M, a smooth manifold with boundary and a smooth... Ph.D. committee member Vaserstein A MATHEMATICAL ANALYSIS OF THE EFFECT OF FREESTREAM TURBULENCE ON THE BLASIUS BOUNDARY LAYER (TRANSITION, STABILITY, MATRIX POLYNOMIALS) by BRIDGES, THOMAS JACKSON The Pennsylvania State University, 1984 This dissertation is an analysis of the boundary layer adjacent to an infinitely smooth, semi-infinite flat plate, situated in a free stream composed of a... LIMIT THEOREMS FOR INFINITE URN MODELS IN PROBABILITY THEORY (PARTICLES, CENTRAL LIMIT, CELLS) by DUTKO, MICHAEL The Pennsylvania State University, 1984 An urn model is defined as follows: n balls are thrown at an infinite array of urns, where each ball has probability p(,k) > 0 of independently hitting the... Ph.D. advisor Vaserstein ON RAMSEY-TYPE THEOREMS AND THEIR PROVABILITY IN WEAK FORMAL SYSTEMS (WAERDEN, SZEMEREDI, HINDMAN) by BRACKIN, STEPHEN HOWELL The Pennsylvania State University, 1984 This dissertation deals with four important theorems in Ramsey Theory: the Simpson-Carlson dual Ellentuck theorem: Hindman's theorem; van der Waerden's... T he following p e o p le a ll a n s w e re d q u e s tio n s o r m a d e t e c h n i c a l s u g g e s tio n s t h a t c o n tr ib u te d t o th is w ork: A shok A garw al, C arlo s Alves, G eo rg e A ndrew s, M ichael B e e le r, Neil B ec h d e l, T. C. B row n, P a u l E rd b s, N a th a n F in e. E d w a rd F o r m a n e k , K. F o s te r , F r a n k G arv an , C ara t e n H a n se n , Jeff H irs t, S te v e n K ra n tz , G e ra r d L a lle m e n t, W innie Li, R ic h a rd M ansfield, W illiam M itchell, J o h n Olson, T o r r e n c e P a rs o n s , C lifford R e ite r , R oss R ic h a rd s o n , C. C. R o u ss e a u , C arl R u p e r t, G eorg S c h n itg e r, D avid S ibley, J a n o s S im o n , S te p h e n S im p so n , P ie r r e T re m b la y , L eo n id V a s e rs te in , a n d W illiam W a te rh o u s e . Order properties of attractive spin systems - Springer by LL Helms - ‎1984 Order properties of attractive spin systems ... 291-309; Holley, R. (1971) Free Energy in a Markovian Model of a Lattice Spin System. ... Vasershtein, L. N. (1969) Processes over Denumerable Products of Spaces Describing Large Systems. Dinamika proizvodstvennykh obʺedineniĭ i modeli planirovaniia ikh deiatelʹnosti by Modin, Anatoliĭ Andreevich 1984 Reviews in number theory 1973-83: as printed in Mathematical Reviews - Page 305 Richard K. Guy, ‎American Mathematical Society - 1984 Another aim is a generalization of VaserStein's computation of G/E to certain subrings B of A and ideals /,,/, of B. A typical result is as follows: If B is an order in a totally imaginary ... 327(1981), 156-183. , Colin J.; Reiner, Irving nations for /. Thermodynamic Formalism: The Mathematical Structures of Classical Equilibrium Statistical Mechanics David Ruelle - 1984 Cambridge University Press, 1984 - Science - 183 pages This book is aimed at mathematicians interested in such topics as ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. Atti Del ... Congresso Internazionale Dei Matematici ... - Volume 1 - Page 385 S. D. Chatterji Springer-Verlag, 1984 The vast literature on the Serre conjecture contains many negative and a few special positive results on the problem of extending to vector bundles on X for X regular: one may consult the articles of Horrocks, Swan, Murthy, Vasserstein, Bass, ... Ola Bratteli, Palle E. T. Jørgensen - 1984 - 188 pages 2011 2012 Vasershtein proceedings of a workshop organized by the Sonderforschungsbereich 123 "Stochastische Mathematische Modelle", Heidelberg 1983 Jürgen Franke, Wolfgang Härdle, Douglas Martin - 1984 - 286 pages Vasershtein Vortex methods in two-dimensional fluid dynamics - Page 36, 46 Carlo Marchioro, Mario Pulvirenti - 1984 - 137 pages Vasershtein By Carl R. Riehm, Ian Hambleton, Natural Sciences and Engineering Research Council of Canada, McMaster University 1984 L.N.Vaserstein, Stabilization in algebraic K-theory and the congruence subgroup problem, Thesis, Moscow State Univ. 1968 (see Funk. ... L.N.Vaserstein, On the normal subgroups of GL over a ring, in Lecture Notes in Math. #854,456-465. Linear algebra over commutative rings - Page 51 By B R McDonald Vaserstein, On K -theory of topological ... Recently, K. 0ennis, B. Magurn, and L. Vaserstein (Generalized Euclidean Group Rings, to appear in J. reine Angev. Math.) ... Introduction to Commutative Algebra and Algebraic Geometry - Page 100 By Ernst Kunz Vaserstein Report PM - Issues 101-110 Penn State, Department of Mathematics Vaserstein Positive Semigroups of Operators and Applications - Page 384, 390 O. Bratteli, P.E.T. Jørgensen - 1984 Vasershtein, L. N.: 'Processes over Denumerable Products of Spaces Describing proceedings of the international conference held at Bielefeld, Federal Republic of Germany, July 26-30, 1982 Springer 1984 Volume 1046 of Lecture notes in mathematics [6] L.N. Vasershtein, "Stabilization for the Milnor ... Vaserstein Kinetic Theories and the Boltzmann Equation - Page 63 Lectures Given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Montecatini, Italy, June 10-18, 1981, Issue 1048 Centro Internazionale Matematico Estivo Springer-Verlag, 1984 - 243 pages LNM 1048 II) Dobrushin and Braun-Hepp used the Wasserstein-metric p, ... Cellular automata: - Page 50, 51 proceedings of an interdisciplinary workshop, Los Alamos, New Mexico 87545, USA, March 7-11, 1983 Vasershtein Stochastic analysis and applications: - Page 37 proceedings of the international conference held in Swansea, April 11-15, 1983 Aubrey Truman, David Williams - 1984 Dobrushin later extended this theorem, replacing the total variation by the Vasserstein distance between probability ... If we take the usual metric |c-n| on the real line, the Vasserstein distance of two probability measures n1 , ir„ on <3 (F) can Динамика производственных объединений и модели планирования их деятельности - Page 122, 227 Анатолий Андреевич Модин, ‎Николай Васильевич Махров, ‎Вâчеслав Иванович Данилин - 1984 -1; Васерштейн Л. Н., Шерман Э. В. Проблемы формирования вариантов развития и специализации производственных объектов в задачах оптимального отраслевого планирования. М., 1977; Оптимизация развития и размещения ... Abstracts of Papers Presented to the American Mathematical Society - Page 219 1984 Let P and Q be probabilities on R . Their Wasserstein distance is W2 (P, Q) - inf | | |x - y| |2 dy (x, y) >/2 , k k the infimum being taken over all u on R x R with marginals P and Q . Suppose that P and Q are Gaussion with means m and n and ... 1985 19 books Сетевые подгруппы групп Шевалле и вопросы стабилизации К1-функтора Плоткин, Евгений Борисович — 01.01.06 — Ленинград, 1985 ... , г. 114, с. 62 -76. 36. Васерштейн Л.Н. О стабилизации общей линейной группы ... т.79 , № 3, с. 405 424. 37. Васерштейн Л.Н. K-теория и конгруэнцпробдема. — Матем. заметки ... 2, с. 233 244. 38. Васерштейн Л.Н. Стабилизация унитарных и ортогональных ... Экономическая оценка технологического развития угледобычи - Page 124 Вассерштейн Л. П., Шерман Э. Б. О формировании вариантов в дискретных задачах оптимального отраслевого планирования. — Экономика и математические методы, 1975, т. XI, вып. 4, с. 681 — 694. 48. Хнжняк Л. Т., Гончаров Н. Science education in global perspective: - Page 187 lessons from five coutries Strumilin's research indicated a return of 5 rubles in the Soviet GNP for every ruble invested in education. ... D.A. Kazhdan, G.A. Margulis, A. Suslin, and L.N. Vasershtein, to name a few — are former winners of the olympiads in Moscow. Abstracts of Papers Presented to the American Mathematical Society - Page 127, 185 1985 (Received December 17, 198*0 819-18-73 LEONID NISON VASERSTEIN, the Pennsylvania State University, Dept. of Mathematics, University Park, Pennsylvania 16802 and the Institute for Advanced Study, Princeton, New Jersey 08540. Kōchi Daigaku Rigakuby Kiyō: Sūgaku - Volumes 6-10 - Page 6 1985 178]). Now let F be a cyclic cubic field in which prime number 2 is decomposed, the notations o, X, \i, t, and <P as in section 3. Put Proposition 4. a- <** = m* (mod 1) (a e #(SL(2, *))). Proof. From Vaserstein [7] we know that SL(2, o) is generated ... Klassifikation Hilbertscher Modulflächen zur symmetrischen Hurwitz-Maass-Erweiterung by Bassendowski, Dieter 1985 Tezisy dokladov = Abstracts of communications by International Conference on Probability Theory and Mathematical Statistics Vilnius, Lithuania 1985 At head of title: Akademia nauk SSSR. Akademia nauk Litovskoĭ SSR. Vilʹnusskiĭ gos. universitet im. V. Kapsukasa. Statistics and control of stochastic processes - Volume 2 - Page 377 Nikolaĭ Vladimirovich Krylov, ‎Robert Shevilevich Liptser, ‎Anatoliĭ Aleksandrovich Novikov - 1985 METRIC DISTANCES BETWEEN COUNTING PROCESSES 1. ... Moreover, we get an upper bound also for the corresponding Wasserstein distance and for the total variation distance between one- dimensional distributions. We start by giving ... Aug. 29 - Sept. 4, 1982, Braşov, Romania Marius Iosifescu, Tiberiu Postelnicu, Serban Grigorescu - 1985 - 674 pages Vallender, S.S. , Calculation of the Wasserstein distance between probability distributions on the line. Theory Probab. Appl., 18, 784- 786 (1973). 15. Wasserjtein, L.N., Markov processes with countable state space describing large systems of ... Time series in the time domain - Page 125 Edward James Hannan, Paruchuri R. Krishnaiah, Malempati Madhusudana Rao - 1985 - 490 pages Papantoni-Kazakos and Gray (1979) proposed the use of the Vasershtein distance on P(X"). The Vasershtein distance utilizes a so-called 'per-letter' metric d = d{xt, Thomas Milton Liggett - 1985 - 488 pages Vasershtein, L. N. 1969 Markov processes over denumerable products of spaces, describing large systems of automata. Problems ... Vasershtein, L. N. and Leontovich, A. M. 1970 Invariant measures of certain Markov operators describing a Margrete Siebert Klein, Floyd James Rutherford - 1985 - 231 pages Reviews in K-theory, 1940-84: as printed in Mathematical reviews Page 4, 5, 12, 108, 678, 775 Bruce A. Magurn - 1985 - 811 pages Topology proceedings - Volume 10 - Page 140, 150 Auburn University Mathematics Department and the Institute for Medicine and Mathematics at Ohio University, 1985 Vaserstein Statistics and control of stochastic processes - Volume 2 - Page 377 Chetvertaia Mezhdunarodnaia Vilʹniusskaia konferentsiia po teorii veroiatnosteĭ i matemeticheskoĭ statistike, Vilʹnius, 24-29 iiunia 1985: A-Z [rom - Page 320, 321 Wasserstein metric Cancer treatment reports - Volume 69, Issues 9-12 - Page 1066 A convenient class of distance functions are the so-called LP Wasserstein metrics, p > 1, which can be motivated as follows. ... If Fz and Fw are two such distributions functions, then their LP Wasserstein distance is the minimum of computed for ... Quantization - Page 200, 202 Peter F. Swaszek Van Nostrand Reinhold, 1985 - 335 pages Wasserstein distance On the Distance between Mixed Poisson and Poisson Distributions Dietmar Pfeifer Defense Technical Information Center, 1985 - 20 pages Estimations and asymptotic expansions for several distances between mixed Poisson and Poisson distributions are given, such as the total variation distance, the Kolmogrov distance and a specific Wasserstein distance (Fortet-Mourier distance). As an example, the author generalizes and improve results of Vervaat (1969) on the total variation distance between negative binomial and Poisson 1986 23 books Основы моделирования перспективного и текущего планирования в производственном объединении Данилин, Вячеслав Иванович — 08.00.13 — Москва, 1986 ... научно-технического прогресса, М.: 1980. 28. Васерштейн JI.H., Шерман З.В. Проблемы формирования вариантов ... TOPICS IN DIFFERENTIAL GAMES AND VARIATIONAL INEQUALITIES by ZHOU, JIANXIN The Pennsylvania State University, 1986 In this thesis we discuss theorems of existence and uniqueness of an optimal strategy for N-person differential games. Equivalently we discuss theorems of... Ph.D. committee member Vaserstein TWO-PERSON PARABOLIC PARTIAL DIFFERENTIAL GAMES (EQUILIBRIUM STRATEGIES, MINIMAX METHOD, FINITE-ELEMENT) by YU, CHARNG-YIH The Pennsylvania State University, 1986 In 1984, G. Chen et al. studied the N-person ordinary differential game with distributed strategies. They utilized primal method to show the existence,... Ph.D. committee member Vaserstein Applications of algebraic K-theory to algebraic geometry and number theory: proceedings of the AMS-IMS-SIAM joint summer research conference held June 12-18, 1983, with support from the National Science Foundation by Bloch, Spencer Contemporary mathematics,v. 55, 1986 Jean Pierre Serre - 1986 Springer 2088 pages 553.2 L. Vaserstein a démontré un résultat plus précis: rA 724. Oeuvres - Collected Papers: Volume 3: 1972 - 1984 - Page 534 Volume 3: 1972 - 1984 Jean-Pierre Serre. Springer, 1986 731 pages Notes in Math. 386, Springer-Verlag (1974). [52] J. Tits. On buildings and their applications, Proc. Int. Congress Math. , Vancouver (1974), t. I, 209-20. [53] L. Vaserstein. On the group SL? over ... Regression trees based on rank statistics - Page 22 Mark Robert Segal - Stanford University, 1986 146 pp Instead of using two-sample statistics, their splitting criteria utilizes Wasserstein metrics. Mathematical Methods in Computer Vision University of Minnesota. Institute for Mathematics and Its Applications - 1986 - 394 pages Wasserstein metric Stewart N. Ethier, Thomas G. Kurtz - Willey 1986, 2005, 2009 - 534 pages online The notion of duality given by (4.36) was developed first in the context of infinite particle systems by Vasershtein (I969), Vasershtein and Leontovitch (I970), proceedings of AMS Special Session held August 8 - 10, 1983 Kondagunta Sundaresan, Srinivasa Swaminathan, American Mathematical Society Cont Math 54, - 1986 - 122 pages It is not difficult to show that relative to the Vasershtein metric (see, e.g., [BF] for definition and basic properties), proceedings of the Research Conference held June 17 - 23, 1984 Joel E. Cohen, Harry Kesten, Charles Michael Newman - 1986 - 358 pages AMS Cont Math 50 It is not difficult to show that relative to the Vasershtein metric (see, e.g., [BF] for proceedings of an International symposium held in Beijing, Aug. 27-Sep. 8, 1984 Tuan Hsio-Fu Springer, 1986 - 403 pages [59] L. Vaserstein, Stabilization of unitary and orthogonal groups over a ring with involution, Math. USSR Sbornlk, Vol. ... USSR Sbornlk 22, (1971), 271-303- [61] L. Vaserstein, Foundations of algebraic K-theory, Russian Math. Surveys, 31:1 ... 1986 L.N. Vaserstein collection of survey papers : on the 50th anniversary of the institute, Volume 168 Ivan Matveevich Vinogradov American Mathematical Society, 1986 - Mathematics - 266 pages L.N. Vaserstein By Lev IAkovlevich Leĭfman Izv. 6 (1972). Translated by L. N. VASERSTEIN (2) Vol. 128. 1986 On Algebraic Geometry and Its Applications: - Page 226 Tpуды Ордена Ленина Математического Института Имени В.А.Стеклова (Proceedings of the Steklov Institute of Mathematics) by S. M. Nikolskii and E. A. Volkov (Oct 1986) Translated by L.N. Vaserstein proceedings of the US-Japan seminar, Kyoto, July 1983 Huzihiro Araki, Edward G. Effros Longman Scientific & Technical, 1986 - 439 pages If t denotes the algebraic functor (Vaserstein, 1976) then we have Theorem. IC(K) = 0. 2. PROOFS Recall that K is a C -algebra and so has a square root operation (Takesaki, 1979)- As a result we see that Yr = K. Geometric methods in operator algebras. Proceedings of the US-Japan Seminar, Kyoto (Japan), July 1983. (English) Pitman Research Notes in Mathematics Series, 123. Harlow, Essex: Longman Scientific \& Technical. Copubl. in the U.S. with John Wiley \& Sons, Inc., New York. VII, 439 p.; \sterling 27.00 (1986). MSC2000: *00B25 46-06 Automation and remote control - Volume 47; - Page 692 L. N. Vasershtein and E. B. Sherman, "Problems of forming variants in development and specialization of industrial plants in problems of optimum industrial planning," Review information, TS-30. Economic-mathematical modeling [in Russian], ... Galen R. Shorack, Jon A. Wellner Wiley, May 7, 1986 - 938 pages Wasserstein distance Mathematical programming study - Issues 26-30 - Page 182 North-Holland Publishing Company, 1986 Wasserstein metric Duality in stochastic linear and dynamic programming - Page 218 Willem K. Klein Haneveld Springer-Verlag, 1986 - Business & Economics - 295 pages Wasserstein metric Probability and mathematical statistics - Volumes 7-9 - Page 113 Państwowe Wydawnictwo Naukowe, 1986 Wasserstein Итоги науки и техники: - Volume 21 - Page 115 1988 Ананасов Б. Н., Дискретные группы преобразований и структуры много* образий. Новосибирск: Наука, 1983, 242 с. 2. Боревич 3. И., Шафаревич И. Р., Теория чисел. 2-е изд., М.: Наука, 1972, 495 с. 3. Вассерштейн Л. Н., Группы, ... 1987 21 books Current trends in matrix theory: Page 398 proceedings of the Third Auburn Matrix Theory Conference, held March 19-22, 1986 # at Auburn University, Auburn, Alabama, U.S.A. by Uhlig, Frank; Grone, Robert 1987 Frank Uhlig, ‎Robert Grone - 1987 - ‎Snippet view L. N. Vaserstein and A. Souslin, Serre's problem on projective modules over polynomial rings and algebraic K theory. Math. USSR Izvestija 10, 937-1001 (1976). 9. 0. Zareski and P. Samuel, Commutative algebra 1, (van Nos- trand. New York ... EXTRACTION OF MTH ROOTS IN MATRIX RINGS OVER FIELDS (LINEAR ALGEBRA) by OTERO, DANIEL EDUARDO The Pennsylvania State University, 1987 THE QUILLEN-SUSLIN THEOREM AND A GENERALIZATION TO NON-NOETHERIAN DOMAINS by LEMMER, ANNA ALETTA University of Pretoria (South Africa), 1987 .... The main results of this work are proved in Chapter 3. These include several important results such as Vaserstein's Theorem, the Local Horrocks' Theorem and its global version... Записки научных семинаров ЛОМИ - Page 228 1987 Вассерштейн Л.Н. Стабилизация унитарных и ортогональных групп над кольцом с инволюцией. - Мат. сб. , 1970, т.61, .» 3, с. 328-351. 3. Вассерштейн Л.Н. Стабилизация для классических групп над кольцами. - Мат. сб. , 1974, т. Operator algebras and mathematical physics: - Page 271, 277, 278 proceedings of a summer conference held June 17-21, 1985 with support from the National Science Foundation and the University of Iowa by Jørgensen, Palle E. T; Muhly, Paul S Contemporary mathematics (American Mathematical Society), 1987 Séminaire de probabilités XXI - Page 570 J. Azéma, ‎Paul André Meyer, ‎Marc Yor - 1987 Cette métrique fut introduite par Mallows [11] et Tanaka Cl7] et reliée à la métrique de Vassershtein introudite par Dobrushin [4]. Pour des détails supplémentaires sur la métrique d,, voir Bickel et Freedman [2]. Théorème 4.4: Soit {Q^} une ... Integer matrices as sums of squares ; and, Matrices as sums of kth powers - Page 8, 14, 15 David R. RichmanCarleton University, Mathematics and Statistics, - 1987 [Vlj L. N. Vaserstein, Every integral matrix is a sum of three squares, Linear and Multilinear Algebra 20 (1986), 1-4. [V2] L. N. Vaserstein, On the sum of powers of matrices, preprint. (V3] L. N. Vaserstein, Non-commutative number theory, ... Noncommutative Noetherian Rings - Page 443 J. C. Robson - 1987 . 1988, 2001 ## J.C. McConnell, and J.C. Robson, with the cooperation of L.W. Small. ISBN 0471915505 : 8.5 (a) A good source for the topics in the first half of the section is [Suslin 81] where it is noted that 5.8(h) is due to Vaserstein, (b) The second half, concerning matrices, originates from [Vaserstein 71] where, in particular, 5.17 appears. Introduction to probability and statistics for engineers and scientists Sheldon M. Ross - 1987 Elements of probability; Random variables and expectation; Special; random variables; Sampling; Parameter estimation; Hypothesis testing; Regression; Analysis of variance; Goodness of fit and nonparametric testing; Life testing; Quality ... Vasserstein VIII International Congress on Mathematical Physics: - Page 723 July 16-25, 1986, Marseille, France M. Mebkhout, R. Sénéor - 1987 L.N. Vasershtein, Prob. Inform. Transm. 5, 64 (1969); O.E. Lanford III, in Statistical Mechanics and Mathematical Problems (Lecture Notes in Physics #20), ed. A. Lenard (Springer, Berlin, 1973). 39. M. Aizenman and R. Theory of Linear Operations: S. Banach ; English Translation by F. Jellett Elsevier, 1987 - 237 pages Yuri I Lyubich, Leonid N Vaserstein - 1993 - Geometriae Dedicata ... Linear Algebra Serge Lang Springer, Jan 26, 1987 - 296 pages Vaserstein Introduction to signals and systems Edward W. Kamen Macmillan Pub. Co., Jan 1, 1987 - 634 pages Vaserstein Probability, random variables, and random signal principles Peyton Z. Peebles McGraw-Hill, 1987 - 349 pages Vaserstein Yadolah Dodge - 1987 - 464 pages It has origins in the papers of Kantorovich [lo] and Vasershtein [23] and it was introduced to mathematical statistics by Sudakov [17] and Zolotarev [24] ... The status of Soviet civil science: - Page 38 proceedings of the Symposium on Soviet Scientific Research, NATO Headquarters, Brussels, Belgium, September 24-26, 1986 Craig Sinclair - M. Nijhoff, 1987 -- 289 pages Vasershtein Harry Kesten - 1987 - 323 pages Thus (Y£(t))t>0 is Cauchy in distribution (in, say, the Vasserstein norm based on the Skorohod metric on path space) and hence converges in distribution to a process which we denote by Y(t). (In fact, it is not difficult to simultaneously realize all ... Number theory :- Page 357 proceedings of the 1985 Montreal conference held June 17-29, 1985 H. Kisilevsky, J. Labute, Canadian Mathematical Society - 1987 - 466 pages Vaserstein's theorem Statistics & decisions: Volume 5 Akademische Verlagsgesellschaft, 1987 New perspectives in theoretical and applied statistics - Page 447 Madan Lal Puri, José Pérez Vilaplana Wiley, Mar 12, 1987 - 544 pages Wasserstein distance edited by E. F. Robertson, Colin Matthew (London Mathematical Society Lecture Note Series 121) Cambridge University Press (February 27, 1987) USSR Izvestia I\_ (l977), 22l-238. 23. L.N. Vaserstein, K1-theory and the congruence problem. Math. iJotes 5 (l969) , l4l-l48. 24. L.N. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR Sb. jl (l969), 383-400. 1988 25 books by Laroco, Leonardo Adlao, Jr University of California, Berkeley, 1988 This dissertation presents work towards the calculation of the Bass stable rank (bsr) and the topological stable rank (tsr) of$H\sp{\infty}$, the Banach... # Report PM, Issues 21-30 - Page 61, 62 Penn State, Department of Mathematics, 1988 Perspektivnoe planirovanie v ugolʹnoĭ promyshlennosti by Romashkin, I. P 1982 Encyclopaedia of Mathematics: C - Page ii Michiel Hazewinkel - 1988 ... F. Takens, R. J. Takens, N. M. Temme, S. H. Tijs, B. Trakhtenbrot, L. N. Vaserstein, M. L. J. van de Vel, F. D. Veldkamp, P. M. B. Vitanyi, N. J. Vlaar, H. A. van der Vorst, J. de Vries, F. Waldhausen, B. Wegner, J. J. O. O. Wiegerinck, J. Wiegold, ... Classical Dirichlet forms on topological vector spaces Closability and a Cameron-Martin Formula Sergio Albeverio, Michael Röckner - 1988 - 53 pages Contractions in the 2-Wasserstein Length Space and Thermalization ... José A Carrillo, Robert J McCann, Cédric Villani - 2006 - Archive for Rational Mechanics and Analysis Normal subgroups of gauge groups L. N. Vaserstein Max-Planck-Inst. f. Mathematik, 1988 - 26 pages Normal subgroups of symplectic groups over rings L. N. Vaserstein Max-Planck-Inst. f. Mathematik, 1988 - 34 pages Annual report - Page 33, 37, 43 An introduction to linear programming and game theory Paul R. Thie Wiley, Mar 8, 1988 - 396 pages Vaserstein Zbl 0691.60031 Fiebig, Doris Über very weak Bernoulli-Prozesse mit schnellen Raten. (On very weak Bernoulli processes with fast rates). (German) Göttingen: Univ. Göttingen, Math.-Naturwiss., Diss. 77 S. (1988). MSC2000: *60G10 28D05, Reviewer: E.Slud Wasserstein distance Zbl 0659.60044 Kirschfink, Heribert Konvergenz von Verteilungen von Summen abhängiger Zufallsvariablen in verschiedenen Wahrscheinlichkeitsmetriken mit Ordnungen. (Convergence of distributions of sums of dependent random variables in different probability metrics with order). (German) Aachen (FRG): Technische Hochschule Aachen, Mathematisch- Naturwissenschaftliche Fakultät, viii, 121 S. (1988). MSC2000: *60F05 60B10 60B05, Reviewer: L.Hahn Wasserstein metric ### Unit Groups of Classical Rings- Page 240 Vaserstein MR0978631 Karpilovsky, Gregory Unit groups of classical rings. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1988. xiv+370 pp. ISBN: 0-19-853557-0 (Reviewer: Carl Riehm) 20C05 (11R27 11R33 12E15 16A25) Robert M. Gray - Springer-Verlag, 1988 295 pp ISBN0387966552, 9780387966557 In the optimal transportation literature, the German spelling of Vasershtein, Wasserstein, also caught on as a suitable name for the Monge/Kantorovich distance and remains so. The Monge/Kantorovich optimal cost provides a distortion or ... Probability, random processes, and ergodic properties. (English) New York etc.: Springer-Verlag. xvi, 295 p. DM 98.00 (1988). MSC2000: *60A10 94A15 60-02, Reviewer: U.Krengel On a formula for the L_p Wasserstein metric between messures on Euclidean and Hilbert spaces Matthias Gelbrich Humboldt-Univ., Sekt. Mathematik, 1988 - 26 pages École d'été de probabilités de Saint-Flour XV-XVII, 1985-87 - Page 193 Persi Diaconis, David Elworthy, Paul-Louis Hennequin - 1988 - 459 pages For two probability measures n and v on S « C[0,1] , let iJfdn-Jfdv) R(M,w) = sup denote the Vasserstein distance as in Ch. I (2.18); Persi Diaconis Institute of Mathematical Statistics, 1988 - 198 pages Wasserstein… metric North Holland, 1988 Wasserstein metric as printed in Mathematical reviews, Volume 1 American Mathematical Society - 1988 - 3998 pages Funaki, Tadahisa (J-NAGO) A certain class of diffusion processes associated with nonlinear parabolic equations. ... op(ui,uj) is a Wasserstein type metric between U|,uj using pth moments and k(r) is a function with / dr/fc2(\/f) divergent at zero. Encyclopedia of statistical sciences: Volume 9 Samuel Kotz, Norman Lloyd Johnson, Campbell B. Read - 1988 Logarithmic Descriptions of Whitehead Groups and Class Groups for p-Groups - Page 96 By Robert Oliver, Larry Taylor Memoirs of the American Mathematical Society 1988; 97 pp; softcover Volume: 76 Operator Algebras and Applications: Structure theory, K-theory, Geometry and Topology - Page 54 edited by David E. Evans, Masamichi Takesaki Vaserstein Whitehead Groups of Finite Groups - Page 34, 35, 56, 241, 343, 349 By Robert Oliver 1988 Vaserstein Ring theory. 2 (1988) - Page 26 By Louis Halle Rowen Vaserstein Memoirs of the American Mathematical Society - Volumes 392-397 - Page 96 MR0938472 Oliver, Robert; Taylor, Laurence R. Logarithmic descriptions of Whitehead groups and class groups for$p$-groups. Mem. Amer. Math. Soc. 76 (1988), no. 392, vi+97 pp. (Reviewer: Bruce A. Magurn) 18F25 (19A22 19A31 19B28) Vaserstein Итоги науки и техники: - Volume 21 - Page 115 1988 Апанасов Б. Н., Дискретные группы преобразований и структуры много- образий. Новосибирск: Наука, 1983, 242 с. 2. Боревич 3. И., Шафаревич И. Р., Теория чисел. 2-е изд., М.: Наука, 1972, 495 с. 3. Вассерштейн Л. Н., Группы, ... 1989 24 books Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules - Page 272, 425, 430 CRC Press, Jul 26, 1989 - Mathematics - 464 pages Vasershtein La propriété (T) de Kazhdan pour les groupes localement compacts - Page 22. 23, 150 by La Harpe, Pierre de; Valette, Alain; Burger, Marc Astérisque, 1989 Vaserstein Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules 272, 425, 430 Christian. U Jensen, ‎Helmt Lenzing - 1989 [189] A. A. Suslin and L. N. Vasershtein. Serre's problem on projective modules over polynomial rings and algebraic K-theory. Izv. Akad. Nauk. SSSR, Ser. Mat., 40:993-1054, 1976. [190] R. G. Swan. Algebraic K-theory. Springer Lecture Notes ... Lectures given at The Lancaster Numerical Analysis Summer School 1987 Peter R. Turner - 1989 At present, it is not clear whether further modifications of our method will produce more information about the structure gap off the real axis. 3. We report on some joint work with F. Grunewald and L. Vaserstein, which belongs to unstable ... Annual Report - Page 13 If d=3, the Vasserstein symbol was shown to yield an isomorphism of the group of unimodular 3-vectors modulo elementary operations with the symplectic elementary Witt group. Vector bundles of rank at least n—l over the complements, in the ... Lp-Wasserstein-Metriken [Lp-Wasserstein-Metriken] und Approximationen stochastischer Differentialgleichungen Matthias Gelbrich, Matthias Gelbrich - 1989 J. F. Jardine, Victor Percy Snaith - 1989 - 550 pages Volume 279 of Nato Science Series C: Vaserstein Algebraic K-Theory and Algebraic Number Theory: - Page 449 Proceedings of a Seminar held Januaey 12 -16, 1987 AMS Cont Math 83 By Michael R. Stein, R. Keith Dennis AMS Cont Math 82 R.K. Dennis, B. Magum and L.N. Vaserstein, 0eneralized Euclidean group rings, J.Reine Ang. Math. 35l (l9s4), ll3-l2s ... Report PM - Issues 71-80 Penn State, Department of Mathematics, 1989 Springer Science & Business Media, 1989 L.N. Vaserstein Theory of statistical inference and information - Page 10, 98, 111 - 1989 - 432 pages Kantorovich — Vasershtein distance and related functions of measures In this section we apply Theorem (4.35) and other results of Sec. 4 to convex functions of measures defined by means of certain distances of measures. Theory of statistical inference and information. Transl. from the Slovak by the author. (English) Theory and Decision Library, Series B: Mathematical and Statistical Methods, 11. Dordrecht etc.: Kluwer Academic Publishers. 432 p. Dfl. 305.00; \$ 149.00; \sterling 95.00 (1989). MSC2000: *62B10 62-01, Reviewer: J.Virtanen

Christian U. Jensen, Helmut Lenzing - 1989 - 443 pages

[189] A. A. Suslin and L. N. Vasershtein. Serre's problem on projective modules over polynomial rings and algebraic K-theory. Izv. Akad. Nauk. SSSR,

Stochastic analysis, path integration, and dynamics: - Page 57

emanations from "Summer Stochastics", Warwick 1987

K. D. Elworthy, Jean-Claude Zambrini - 1989 - 265 pages

Wasserstein distance

Dynamical systems and ergodic theory - Page 40

Karol Krzyżewski, Instytut Matematyczny (Polska Akademia Nauk) - 1989 - 479 pages

Wasserstein distance

Probability and mathematical statistics - Volumes 10-11 - Page 312

Wasserstein distance

Stability Problems for Stochastic Models:  - Page 170

Proceedings of the 11th International Seminar Held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25-Oct. 1, 1987, Issue 1412

Wasserstein distance

Technical report series of the Laboratory for Research in Statistics and Probability - Issues 131-140 - Page 3

Laboratory, Carleton University, 1989

Wasserstein distance      First International Conference on Stochastic Geometry,

Representation Theory, Group Rings, and Coding Theory:  - Page 347

Papers in Jonor of S.D. Berman (1922-1987)

Irving Martin Isaacs - 1989 AMS Cont Math 93

L. N. Vaserstein, The structure of classic arithmetic groups of rank greater than one, Math. USSR Sbornik 20 (1973), 465-492.

1989 ISBN0521369193, 9780521369190

Vaserstein

The classical groups and K-theory - Page 161, 177, 519

We point out that Vaserstein's theory

; O'Meara, O. Timothy The classical groups and $K$-theory. With a foreword by J. Dieudonné.

Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 291. Springer-Verlag, Berlin, 1989. xvi+576 pp. ISBN: 3-540-17758-2 (Reviewer: James E. Humphreys) 20-02 (11E57 19-02 20G15 20H25)

IMS bulletin - Volume 18, Issues 102-107 - Page 86

... Uniform large deviation property of the empirical process of a Markov chain R. ARRATIA & M.S. WATERMAN: The ... urn models Juan Antonio CUESTA: Notes on the Wasserstein metric in Hilbert spaces Articles STATISTICAL SCIENCE a ...

MR0999391 Proceedings of Research Symposium on $K$-Theory and its Applications. Held at the University of Ibadan, Ibadan, August 10–15, 1987. Edited by A. O. Kuku and C. Weibel. $K$-Theory 2 (1989), no. 5. This is a Historical Journal, Ann Arbor, MI, 1989. pp. i–ii and 557–673. 18-06 (19-06)

MR0991972  Algebraic $K$-theory and algebraic number theory. Proceedings of the seminar held in Honolulu, Hawaii, January 12–16, 1987. Edited by Michael R. Stein and R. Keith Dennis. Contemporary Mathematics, 83. American Mathematical Society, Providence, RI, 1989. xiv+488 pp. ISBN: 0-8218-5090-3 18F25 (19-06)

1990   25 books

### Территориальная организация хозяйства в современных условиях:

Т.М Калашникова - 1990 - ‎Snippet view

Несмотря на простоту постановки, решение задачи довольно сложное: она не является не только задачей линейного программирования, но даже и задачей выпуклого программирования. В частности, критерий качества Р может иметь несколько локальных экстремумов, и выделение среди них глобального экстремума может представлять значительные трудности. Задачи такого рода рассмотрены, например, в работе (Васерштейн, Ч миль, Шерман, 1974).

### Bulletin - Page 412

1990 - ‎Snippet view

For probability measures P and Q on Euclidean space IR"1 and 1 < p < <*>, let Jp(P, Q): = inf[(£IIX - Y\V)1,p : L(X) = P, L(Y) = Q] denote the generalized Wasserstein distance between P and Q. Exact order rates of convergence are found for ytp(Xlv A), where A„ is the nth empirical measure for Lebesgue measure A on the d-dimensional unit cube. This resolves a long-open problem in empirical measures. Hall's marriage theorem is used . The results extend to provide exact order rates ...

Grothendieck Festschrift, Volume III: Page 494

A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck

by Cartier 01/1990

K-Theory and Homological Algebra:  - Page 56

A Seminar Held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987-88, Issue 1437

Hvedri Inassaridze - 1990

by D(R.) denote the subgroup In Shx(fL) ... Lemma 2.2 (Vasershtein. [191),. Let 1 and 5 be any natural numbers, T be an ideal in R ...

Algebraic structures and number theory:

proceedings of the first international symposium, Hong Kong, August 8-13, 1988

by Lam, S. P; Shum, K. P  1990

Matematicheskie bilʹardy : bilʹardnye zadachi i smezhnye voprosy matematiki i mekhaniki

by Galʹperin, G. A; Гальперин, Г. А  G.A. Galʹperin, A.N. Zemliakov. Moskva : Nauka, Fizmatlit, 1990.

Ergodic Theory and related topics, III (1990)

Lecture Notes in Math. 1514

L . N. Vaserstein, On Systems of particles with finite - range and/or repulsive

Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals

S.T. Rachev and R.M. Shortt.  google books

Warszawa : Państwowe Wydawn. Naukowe, 1990. 39 pp  ISBN 8301099704 9788301099701

Zbl 0718.60057 Gelbrich, Matthias  L${}\sp p$-Wasserstein-Metriken und Approximationen stochastischer Differentialgleichungen. $(L\sp p$

Wasserstein metrics and approximations of stochastic differential equations). (German)  Berlin: Humboldt-Universität Berlin, Mathematisch- Naturwissenschaftliche Fakultät,

Diss. 77 S. (1990). MSC2000: *60H10 60B10, Reviewer: M.Gelbrich

Probability theory and mathematical statistics:  - Page 142, 388

proceedings of the fifth Vilnus conference: Volume 1

Bronius Grigelionis - 1990 - 646 pages

Now we define the so-called Vasershtein metric between two probability measures

Number-Theoretic Analysis Seminar, Vienna, 1988-89 - Page 6, 17, 18

Edmund Hlawka, Robert F. Tichy - 1990 - 220 pages

We so get the rate of convergence of a sample path to with regard to the Vasserstein metric cf. [14]: The Vasserstein distance ...

System modelling and optimization - Page 690, 695, 696

proceedings of the 14th IFIP-Conference, Leipzig, GDR, July 3-7, 1989

Hans-Jürgen Sebastian, K. Tammer, International Federation of Automatic Control - 1990 - 960 pages

Wasserstein

Séminaire de mathématiques Rouen: Comptes rendus des séances: - Page 105

septembre 1988-juin 1989

Université de Rouen. Laboratoire d'analyse et modèles stochastiques - 1990 - 180 pages ISBN2877750175, 9782877750172

Wasserstein

Centre de Recherches Mathématiques, Université de Montréal, 1990

Wasserstein distance

Uppsala abstracts:  - Page 143

abstracts of papers presented in Uppsala, Sweden, 13-18 August 1990

The Institute of Mathematical Statistics and the Bernoulii Society for Mathematical Statistics and Probability, 1990 - Mathematics - 216 pages

Wasserstein distance

Bulletin / Institute of Mathematical Statistics - Volume 19 - Page 412

1990

Wasserstein distance

Séminaire de mathématiques Rouen: - Page 105

Comptes rendus des séances septembre 1988

1990

Cette distance, dite ici de Wasserstein, se généralise aux espaces lP par d(P,Q) - a IX-YI ...

proceedings of the 14th IFIP-Conference, Leipzig, GDR, July 3-7, 1989

Hans-Jürgen SebastianSpringer-Verlag, 1990 - 960 pages

Wasserstein distance

Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis - Page 179, 182

By R. L. Dobrushin, V. I. Kriukov, A. L. Toom Manchester University Press, 1990 - 541 pages

Vaserstein

Centre for Mathematical Sciences (Trivandrum, India) Centre for Mathematical Sciences, 1990  - 129 pages

Vaserstein

Weizmann Science Press of Israel, 1990  MR1159095

Vaserstein

Topology and combinatorial group theory - Page 90

proceedings of the Fall Foliage Topology Seminars, held in New Hampshire 1986-1988

Springer-Verlag, Oct 18, 1990 - 207 pages

Also I want to thank Leonid Vaserstein for

his interest and encouragement, and George Bergman for his helpful correspondence.

Festschrift in Honor of I.I. Piatetski-Shapiro on the Occasion of His Sixtieth Birthday:

Papers in representation theory

Vaserstein

В.Л Макаров, ‎Валентин Давыдович Маршак, ‎Сергей Матвеевич Анцыз - 1990

Васерштейн Л. Н., Шерман Э. Б. О формировании вариантов в дискрет- пых задачах оптимального планирования ... Васерштейн Л. Н. Проблема формирования вариантов развития и специализации производственных объектов в ...

Территориальная организация хозяйства в современных условиях  - Page 149

Т.М Калашникова - 1990

... несколько локальных экстремумов, и выделение среди них глобального экстремума может представлять значительные трудности. Задачи такого рода рассмотрены, например, в работе (Васерштейн, Ч миль, Шерман, 1974).

1991    26 books

# Vaserstein

Generators and relations in groups and geometries : Page xv, 40. 44, 99 (and 5 more)

[proceedings of the NATO Advanced Study Institute on Generators and Relations in Groups and Geometries, Castelvecchio Pascoli (Lucca), Italy, April 1-14, 1990]  1991

Vaserstein

Von Neumann regular rings - Page 383,  410, 412

by Goodearl, K. R 1991, 2nd ed.

Vaserstein

Летопись журнальных статей - Issues 6-10 - Page 119

1991

### Knots bibliography - University of Glasgow, Department of Mathematics

Joyce A. Riley Penn State 1991

University of Glasgow

Report PM - Issues 121-130 - Page 14, 24, 31

1991

PM 116: BRYNE, C.C. k VASERSTEIN, L.N. May 1991 An improved algorithm for finding saddlepoints of two-person zero-sum games. PM 117: BRYLINSKI, J.-L. k McLAUGHLIN, D. May 1991 A geometric construction of the first Pontryagin ...

### Skorohod Representation Theorem and Wasserstein Metrics

J. A. Cuesta AlbertosUniversidad de Cantábria, 1991

Moscow University Computational Mathematics and Cybernetic  - Page 58, 60, 61

Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova

Allerton Press, 1991

13) it is stated that the maximal coupling in Markovian case {i.e., each component is Markovtan with identical transition probabilities and different initial aistributions) cannot be {Griff eath's) Markovian. Theorem 2. Wassershtein's coupling is ...

Algebraicheskie gruppy i teoriia chisel

by Platonov, V. P. 1939 1991

Moskva : "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1991. 654 pages ISBN 5020141917

### Algebraic groups and number theory / Vladimir PlatonovAndrei Rapinchuk ; translated by Rachel Rowen. 1994

In particular, in case rankK G ^ 2, this was proved by Vasserstein [Va 2] for all classical groups and by Raghunathan [Rag 7] for all G. In [Va 2] some results on normal subgroups were also announced, e.g., in case G is a K'-rank 1 classical ...

Ergodic theory and dynamical systems: Volume 11, Issues 3-4

University Press, 1991

École d'été de probabilités de Saint-Flour XIX, 1989 - Page 173, 176

Donald L. Burkholder, Étienne Pardoux, Alain-Sol Sznitman - 1991 - 259 pages

Vaserstein metric, Vasershtein metric

Svetlozar Todorov Rachev - 1991 - 494 pages

... f |x( - yt\ x, yeM" i=i (13.2.3) see (3.2.2), (3.3.3) and (5.2.18). Remark 13.2.2. Dobrushin (1970) called £x the Vasershtein (Wasserstein) distance.

Dall'aglio, G.; Kotz, S.; Salinetti, G. (Eds.)  1991, XVIII, 232 p. 5 illus.

Limit theorems and some applications in statistical physics - Page 134 ,135, 137, 142, 243

Boris Nahapetian - 1991 - 244 pages

If the sequence of distributions Pa converges to P in a sense of Kantorovich-Vasershtein metric,

Statistics: Volume 22   Taylor & Francis, 1991

Vasershtein

Singularity Theory and Its Applications: Geometric aspects of Singularities - Page 176

Warwick 1989  David Mond, James Montaldi, Mark Roberts - 1991 - 408 pages

Vasershtein

Stochastic orders and decision under risk - Page 310

edited by Karl C. Mosler, Marco Scarsini 1991

Wasserstein distance

Comparison of Statistical Experiments - Page 664

By Erik Torgersen 1991

Wasserstein distance

Svetlozar Todorov Rachev Wiley, May 13, 1991 - 494 pages

Wasserstein metric, Wasserstein norm

Using the Dennis-Vaserstein results, the bounds in [20] can be greatly improved for large n.

Thirteen Papers in Algebra, Functional Analysis, Tipology and Probability - Page 192

translated by V. Valentin Senderovich Afraimovich AMS 1991

Vaserstein

Groups St Andrews 1989: - Page 375

edited by C. M. Campbell, E. F. Robertson 1991

Vaserstein

Oxford University Press, Nov 7, 1991 - 157 pages

Vaserstein

Ichirō Satake - University of Toronto Press, 1991

The vast literature on the Serre conjecture contains many negative and a few special positive results on the problem of extending to vector bundles on X for X regular: one may consult the articles of Horrocks, Swan, Murthy, Vasserstein, Bass, ...

1992   25 books

### Algebraic K-theory, Commutative Algebra, and Algebraic Geometry:   (3 pages)

Proceedings of the U.S.--Italy Joint Seminar Held June 18-24, 1989 at Santa Margherita Ligure, Italy,

R. Keith Dennis, ‎Claudio Pedrini, ‎Michael R. Stein - 1992 - ‎Preview - ‎More editions

2. I. M. James, On homotopy-commutativity, Topology 6 (1967), 405–410. 3. L. N. Vaserstein, K1-theory and the congruence subgroup problem, Mat. Zametki 5:2 (1969), 233–244 = Math. Notes 5, 141–148. 4. L. N. Vaserstein, The stable range of rings and the dimension of topological spaces, Funk. Anal. 5:2 (1971), 17–27 = Funct. An. Appl. 5, 102–110. 5. L. N. Vaserstein, Normal subgroups of the general linear groups over Banach algebras, J. Pure Appl. Algebra 41:1 (1986), 99–112.

### Applied Probability: Complete author and subject index - Page 62

1992 -

transition probabilities of a diffusion process A. Milian JAP 29 (1992) 334-342 of Markov circuit processes S. ... Szczotka and K. Topolski AAP26 (1994) 242-257 Wald's equation, validity M. Roters JAP 31 (1994) 949-957 Wasserstein metric G.

Publications du Centre international de rencontres  mathématiques, Issue 2 - Page 198

1992

... sont fournies par des solutions au problème de Tarry- Escott, sauf deux d'entre elles, dues à Rao et Vaserstein. ... notions de déterminants non commutatifs (déterminant quantique, Bérézinier, déterminant de Dieudonné) à la théorie des ...

continuous approximation schemes for stochastic programs - Page 12

john r. birge, liqun qi - 1992

We next use the assumptions to obtain bounds on the Wasserstein metric. ..

Proceedings of a Us-French Workshop, Rutgers University, New Brunswick, N.J., April 29-May 2, 1991

Ioannis Karatzas, Daniel Ocone - 1992

Cuesta J.A. and Matran C. (1989) Notes on the Wasserstein metric in Hilbert spaces. ... Kantorovich, L.V. and Rubinstein G. Sh. (1958) On the space of completely additive functions, Vestnik LGU, Ser. Mat. ... The distance between two 260.

Abstracts of papers presented to the American Mathematical Society - Volume 13 - Page 332

Exact convergence rates for the bounded law of the Iterated logarithm in Hilbert space. ... Rate of Convergence of Empirical Measures in the Wassersfein Metric. ... observations from an i.i.d. sequence of rvs in with underlying law P, and let W be the Wasserstein distance (of order 2) between Pn and P. Then, under very mild ...

Lectures on the Coupling Method - Page 177

Torgny Lindvall - 1992  The Vasershtein coupling.

Atti del Seminario matematico e fisico dell'Università di Modena - Volume 40 - Page 98

... R. Herman - L. N. Vasershtein, The stable range of C*-algebras, Invent. Math., 77 (1984), 553-555. [13] E. Hewitt - K. Ross, Abstract harmonic Analysis I, Springer Verlag, Berlin, Heidelberg, New York, 1963. [14] K. Hoffman, Lectures on sup ...

Poisson approximation  - Page 17, 254, 274

A. D. Barbour, Lars Holst, Svante Janson - 1992 - 277 pages

Wasserstein distance Suppose that the state space is a separable metric space (X,d) equipped with its Borel c-field, and ...

proceedings of the eighth international conference, [held at Bowdoin College in summer 1991]

Richard M. Dudley, Marjorie G. Hahn, James Kuelbs - 1992 - 510 pages

Wasserstein distance

Mufa Chen - 1992 - 550 pages

Givens, C. R. and Shortt, R. M.(1984), A class of Wasserstein metrics for probability distributions, Mishigan Math. J. 31 ...

Stochastic approximation and optimization of random systems - Page 56

Lennart Ljung, Georg Ch Pflug, Harro Walk - 1992 - 113 pages

Wasserstein-metric

Stochastic optimization:  - Page 118

numerical methods and technical applications : proceedings of a GAMM/IFIP-workshop held at the Federal Armed Forces University Munich, Munich, FRG, May 29-31, 1990

Kurt Marti, Hochschule der Bundeswehr München - 1992 - 182 pages

Wasserstein metric

Automata, languages, and programming: - Page 410

19th International Colloquium, Wien, Austria, July 13-17, 1992. Proceedings

Werner Kuich - 1992 - 719 pages

The resulting general metric between functions is known as the Kantorovich-Rubinstein distance or the Wasserstein ...

Numerical solution of stochastic differential equations - Page 607

Peter E. Kloeden, Eckhard Platen - 1992 - 632 pages

If- Wasserstein-Metriken und Approximation stochastischer Differentialgleichungen. Ph. D. thesis, Dissert

[2] M. Gelbricht, On a formula for the L1 Wasserstein metric between measures on euclidean and Hilbert spaces, Math. Nachr. ...

Algebraic K-Theory, Commutative Algebra, and Algebraic Geomey - Page 196

Proceedings of the U.S.-Italy Joint Seminar Held June 18-24, 1989 at Santa Margheri (Google eBook)

L. N. Vaserstein, The stable range of rings and the dimension of topological spaces. Funk. Anal. 5:2 (1971) ... L. N. Vaserstein, Normal subgroups of the general linear groups over Banach algebras, J. Pure Appl. Algebra 41:1 (1986), 99-112. 6.

Topology '90 - Page 459

Boris Apanasov, Walter D. Neumann, Alan W. Reid - 1992

... Transform Approach - D. Thakur: On Gamma Functions for Function Fields - A. Thiery: Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld - L. Vaserstein: Ramsey's theorem and Waring's problem for algebras ...

proceedings of a Conference in honor of Goro Azumaya's seventieth birthday : proceedings of a Conference held May 23-27, 1990 with support from the National Science Foundation .

Replacing 6rj by 6'^6rj we see that P w ©Pj where PI is of rank 1 and Pi for i > 1 is the pullback of (4) and hence isomorphic to A. It remains to prove the lemma. We will deduce it from the following well known result of Vaserstein [V]. LEMMA ...

Fuchsian Groups - Page x

Svetlana Katok - 1992

I wish to express my appreciation to Peter Sarnak and Leonid Vaserstein for discussions on arithmetic groups. I would like to thank Ozlem Umamoglu and Yves Martin, graduate students from my class at the University of California at Santa ...

Simeon Ivanov - 1992

... where the degree of the group is sufficiently large in comparison with the stable rank of the ring, these formulas and even the more precise one were proved by Bass and Vaserstein. The first of the formulas is equivalent to the normality of £(<

L. N. Vaserstein, Stabilization of unitary and orthogonal groups over a ring with involution. Mat. Sb. 81 (1970), no. 3, 328-351; English transl. in Math. USSR-Sb. 10 (1970). Institute of Mathematics Academy of Sciences of the Belorussian SSR ...

Cyclic homology - Page 352, 376, 443

Jean-Louis Loday - 1992

11.2.14 Theorem. For any ring A the connected space X(A) is acyclic (H.(X(A)) = 0) and is simple in dimension > 2. Proof (absence of). The original proof is due to Volodin [1971], see also Vaser- stein [1976]. We refer to Suslin [1981] for a short ...

Sensitivity analysis and optimization of discrete event systems - Volume 39, Issues 1-4 - Page 179

Søren Asmussen, Reuven Y. Rubinstein, Alexander Shapiro - 1992

We introduce the Wasserstein distance for probability measures Vi and v2 on the Borel a- algebra of (R, r): r(Vi, V2) :=sup{ < G, Vi ) - < G, v2 > : G is a real function on /? with £(G) ^ 1 } . There is no ambiguity in denoting the distance in R and the ...

### The Arithmetic of Function Fields: Proceedings of the ... Page p/443

MR1196508 The arithmetic of function fields. Proceedings of the workshop held at The Ohio State University, Columbus, Ohio, June 17–26, 1991. Edited by David Goss, David R. Hayes and Michael I. Rosen. Ohio State University Mathematical Research Institute Publications, 2. Walter de Gruyter & Co., Berlin, 1992. viii+482 pp. ISBN: 3-11-013171-4 11-06 (11G09 11R58)

1993  24 books

Princeton Legacy Library: Statistical Mechanics of Lattice Gases, Volume 1

by Simon, Barry 09/1993  0691607915, 9780691607917

Semigroups presented by a single relation

by Bouwsma, Janet Brugh

The Pennsylvania State University, 1993

Ph.D. committee member Vaserstein

Involutions in classical groups and related topics

by Arlinghaus, Francis Anthony

The Pennsylvania State University, 1993

.... We use a result of Vaserstein and Wheland to obtain bounds on the number of involutory matrices needed to express any invertible matrix in this case...

Semigroups presented by a single relation

by Bouwsma, Janet Brugh

The Pennsylvania State University, 1993

Algebra

by Lang, Serge, 1927-2005

1993

Involutions in classical groups and related topics

by Arlinghaus, Francis Anthony  Dissertation :

The Pennsylvania State University, 1993

.... We use a result of Vaserstein and Wheland to obtain bounds on the number of involutory matrices needed to express any invertible matrix in this case...

Carlo Marchioro, Mario Pulvirenti - 1993

It can be proved that the topology induced by the metric (3.8) is equivalent to the topology of the weak convergence of the measures.

This metric is called the Kantorovich-Rubistein (K-R) distance (sometimes called the Vasershtein distance).

Theoretical and Mathematical Physics - Volume 96 - Page 826

1993

7. V. V. Kozlov and D. V. Treshchev, Billiards. Genetic Introduction to the Dynamics of Systems with Collisions [in Russian], Izd-vo MGU, Moscow (1991). 8. G. A. Gal'perin, Dokl. Akad. Nauk SSSR, 245, 285 (1979). 9. L. N. Vaserstein, Commun.

Herbert Schroder - 1993

... and L. Vaserstein [HrV] have shown that sr(>4) and tsr(.4) coincide if A is a C*-algebra. Although the condition of 1.6.2 guarantees weak stability, the size of the stable range depends on far subtler properties of the C*-algebra in question.

Resenhas Do Instituto de Matemática E Estatística Da Universidade de São Paulo, Volumes 1-3 - Page 121

1993

In fact, it is a result of Bass-Milnor-Serre-Vaserstein that (i) and (ii) always hold if rij > 3 and for n,- = 2 they hold provided that Di ^ Q or imaginary quadratic or a definite quaternion algebra. We shall further assume that if n, = 1 then D, is a totally ...

Alexander Lubotzky - 1993

[MaSh] A. Mann, A. Shalev, Maximal subgroups of finite simple groups and positively finitely generated groups, preprint [MVW] C.R. Matthews, L.N. Vaserstein, B. Weisfaler, Congruence properties of Zariski dense subgroups I, Proc. Lond.

Dissertation Abstracts International: The sciences and engineering. - Page 2531

Adviser: Leonid N. Vaserstein Order Number DA9326805 The problem of writing matrices as products of involutory matrices has been investigated over fields by many people. In this thesis, we investigate this problem when the base ring ...

Report PM - Issues 151-160

Herbert Schröder - 1993

... and L. Vaserstein [HrV] have shown that sr(>4) and tsr(.4) coincide if A is a C*-algebra. Although the condition of 1.6.2 guarantees weak stability, the size of the stable range depends on far subtler properties of the C*-algebra in question.

Shape recognition using metrics on the space of shapes

David Spotts Fry - 1993

O. V. Gulinsky, A. Yu Veretennikov - 1993 - 186 pages

Vaserstein, L. N. Markov processes over denumerable products of spaces, describing large systems of automata. Problems of Information Transmission (1969) 5, 47-52. Veretennikov, A. Yu. Bounds for the mixing rate in the Bibliography 185.

Cellular automata and cooperative systems - Page 453

Nino Boccara - 1993 - 546 pages

Gazette - Australian Mathematical Society: Volumes 20-21

Encyclopaedia of Mathematics (9) - Page ii

Michiel Hazewinkel - 1993

... L. Streit, K. Stromberg, L. G. Suttorp, D. Tabak, F. Takens, R. J. Takens, N. M. Temme, S. H. Tijs, B. Trakhtenbrot, L. N. Vaserstein, M. L. J. van de Vel, F. D. Veldkamp, P. M. B. Vitanyi, N. J. Vlaar, H. A. van der Vorst, J. de Vries, F. Waldhausen, ...

a symposium in honor of John Milnor's sixtieth birthday, Volume 3

Early results of the author [HB2, 3] and Vaserstein [Vasl] showed, under suitable "finite dimensionality" assumptions on A, ... It was later shown by Suslin and Vaserstein that, for A a finitely generated Z(/4)-module, (1) and (2) hold for all n > 3.

Units in integral group rings. With an appendix by Al Weiss. Pitman Monographs and Surveys in Pure and Applied Mathematics, 69. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1993. xii+357 pp. ISBN: 0-582-23081-0 (Reviewer: E. Jespers) 16U60 (16-02 16S34 20-02 20C05 20C07 20C10 20C12)

On Lower Bounds for the L2-Wasserstein Metric in a Hilbert Space

J. A. Cuesta-Albertos, Carlos Matrán Bea, Universidad de Cantabria - 1993

Cahen - 1993

Wilson in [11], for n > 3 hy Borevich and Vavilov in [2,3], and generalized and finalized hy Vaserstein in [10]. The main tool in this characterization is the notion of the level ideal of a matrix in GL(n, A). lfX = [ay] is in GL(n, A), the level ideal f(X] of ...

Algebraic Groups and Number Theory - Page 597, 606

Vladimir Platonov, ‎Andrei Rapinchuk, ‎Rachel Rowen - 1993

Matthews C. R., Vaserstein L. N., Weisfeiller B. [1] “Congruence properties of Zariski-dense subgroups I,” Proc. London Math. Soc. 483 (1984), 514–532. Matveev G. V. [1]. “The genus of the elements of an orthogonal group,” Mat. Zametki 135 ...

Vasserstein L. N. [1] “On SL2 over an arithmetic Dedekind ring,” Mat. Sb. 89 2 (1972), 313-322. [2] “On full subgroups of Chevalley groups,” Tohéku Math. J. 37 4 (1985), 423-454. [3] “On arithmetic subgroups of simple algebraic groups,” Linear ...

1994  29 books

Unsolved problems in number theory - Page 151, 152

by Guy, Richard K

Problem books in mathematics, 1994, 2nd ed.

Topics in matrix theory

by Reams, R

University College Dublin (Ireland), 1994

... as A.The idea for the problem came from a paper by L. Vaserstein [V], wherein he conjectured that the same result was true for n x n matrices with integer entries...

Weak Convergence of Stochastic Integrals and Stochastic Integrals and Stochastic Differential Equations Driven by Martingale Measure and Its Applications - Page 114

Nhansook Cho - 1994

Definition 4.1. X is a solution to the McKean-Vlasov stochastic differential equation starting at Xo, if (4.4.2) dXt = a[t,Xt,Pt]dBt + b[t,Xt,Pt]dt where Pt = P o X^~l is the law of Xt- Pt is the (so called) McKean-measure. Recall the Vasserstein( or ...

Katsumi Nomizu - 1994

The Vasserstein distance for two probability distributions fi\, fi: on 5, is defined as 2) = sup Also, the oscillation at a coordinate / of a function / on the product space g" is defined as follows S/(/ ) = sup{|/(**) - /(>'*)|/r(.v;,>'*);x* = >** except at the ...

Combined Membership List - Page 318

... John D, Jr Tseng, Zachary S Tsygan, Boris Lvovich Tyler Howard, Anna Kathleen Vaserstein, L N Wang, Feng Ware, Roger P Waterhouse, William C Wayne, Clarence Eugene Weiss, Howard N Witzany, J if I Wood, Warren T Xu, Hang Xu, ...

Marcus Greverath - 1994

1 (1969), 177-183. [51] F. W. Stevenson, Projective Planes. W. H. Freeman and Company. San Francisco 1972. [52] L. N. Vaserstein, Stable Rank of Rings and Dimensionality of Tbpological Spaces. Functional Anal. Appl. 5 (1971), 102-110.

1994

W. H. Freeman and Company. San Francisco 1972. [52] L. N. VAseRsteIN, Stable Rank of Rings and Dimensionality of Topological Spaces. Functional Anal. Appl. 5 (1971), 102-110. [53] O. Veblen, W. H. Bussey, Finite Projective Geometries.

CWI Quarterly - Volume 7 - Page 326

1994

... first solution (134476,117367,-159380), so this case could be removed from the list of values of k for which no solution was known. We remark that this solution was also found, independently, by Conn and Vaserstein [32], and by K. Koyama ...

Proceedings of the Moscow Discrete Mathematics Seminar, 1972-1990

Alexander K. Kelmans - AMS 1994

... M. Burstein (now in the USA), M. Goldberg (now at Rensselaer Polytechnic Institute), L. Levin (now at Boston University), L. Vaserstein (now at Pennsylvania State University), B. Weisfeiler (later at the Institute of Advanced Study, Princeton, ...

$C^*$-Algebras: 1943--1993: 1943-1993 :  - Page 382, 396, 397, 298, 399

a Fifty Year Celebration : AMS Special Session Commemorating the First Fifty Years of C*-algebra Theory, January 13-14, 1993, San Antonio, Texas

Contemporary mathematics, ISSN 0271-4132

Volume 167 of Contemporary mathematics: American Mathematical Society

Robert S. Doran - 1994

In [28], Dennis and Vaserstein proved several purely algebraic results on lengths of products of commutators in matrix algebras. Here is an excerpt from their Theorem 2. In it, Bsr(A) is the Bass stable rank of A (for an arbitrary unital ring A); ...

Report PM - Issues 171-180 - Page 44, 69, 94, 107,

1994

PM 156: ARLINGHAUS, F. A., VASERSTEIN, L. N., k YOU, H. July 1993 Normal subgroups of classical groups over von Neumann regular rings. PM 157: VASERSTEIN, L. N. k YOU, H. July 1993 Normal subgroups of classical groups over ...

The Rademacher Legacy to Mathematics: - Page vii, x1, 286, 292, 293, 294

The Centenary Conference in Honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University George E. Andrews, David M. Bressoud, L. Alayne Parson. 11. G.Payne and L.Vaserstein, Sums of three cubes, Proceedings of ...

MR1284046 The Rademacher legacy to mathematics. Papers from the Centenary Conference in Honor of Hans Rademacher held at the Pennsylvania State University, University Park, Pennsylvania, July 21–25, 1992. Edited by George E. Andrews, David M. Bressoud and L. Alayne Parson. Contemporary Mathematics, 166. American Mathematical Society, Providence, RI, 1994. xxxvi+369 pp. ISBN: 0-8218-5173-X 11-06 (01-06)

Lecture notes in control and information sciences, 1994

Vincent Blondel - 1994

[106] Vardulakis A., Limebeer D. and Karcanias N., Structure and Smith MacMillan form of a rational matrix at infinity, Int. J. Control, vol. 35, pp. 701-725, 1982. [107] Vaserstein L., Bass's first stable range condition, J. Pure Applied Algebra, vol.

Encyclopaedia of Mathematics (set) - Page ii

Michiel Hazewinkel - 1994 - ‎Mathematics

ENCYCLOPAEDIA OF MATHEMATICS Managing Editor M. Hazewinkel ... Takens, N. M. Temme, S. H. Tijs, B. Trakhtenbrot, L. N. Vaserstein, M. L. J. van de Vel, ...

Partial Differential Equations of Elliptic Type: Cortona, 1992 - Page 132

Angelo Alvino, ‎E. B. Fabes, ‎Giorgio Talenti - 1994

Remark 1 We can define the Kantorovich-Wasserstein distance (see [RR] for example) between po and p\ by setting x (5)

Proceedings of the Sixth Vilnius Conference (1993) : Vilnius, Lithuania, 28 June-3 July, 1993

Bronius Grigelionis - 1994

Another approach is connected with the property of "contraction" of transition probabilities (see (Dobrushin, 1970)). It means that Kantorovich-Wasserstein distance R(P(xi,-),P(x2,-)) between P(XI,-) and P(x2,-) has to be less than p(x\,x2), />(*,.) ...

Translations. Ser. 2, 161. Selected papers on analysis,Probability, and Statistics

Katsumi Nomizu - AMS 1994 ISBN0821875124, 9780821875124

The Vasserstein distance for two probability distributions fi\, fi: on 5, is defined as 2) = sup Also, the oscillation at a coordinate / of a function / on the product space g" is defined as follows S/(/ ) = sup{|/(**) - /(>'*)|/r(.v;,>'*);x* = >** except at the ...

A beautiful theorem of L. N. Vaserstein [SV, Corollary 7.4], identifies Um.z(A)/Ez(A), the coset space of unimodular 3-vectors Umz{A) modulo action of the Elementary matrices E${A), with the Symplectic Elementary Witt group We(A) when ... The Vaserstein symbol V = Va : Umz{A) / E$(A) — WE(A) is the map [(a,b,c)]~[V(v,w)], where v = (a,b,c), w = (a',b',d) with aa' + bb' + cd = 1. In [SV, Theorem 5.2], L. N. Vaserstein has shown that this map is well defined (i.e. it is independent of ...

MR1297782 (95d:52002)  First International Conference on Stochastic Geometry, Convex Bodies and Empirical Measures.

Proceedings of the conference held in Palermo, April 25–May 2, 1993. Edited by M. I. Stoka. Rend. Circ. Mat. Palermo (2) Suppl. No. 35 (1994). Circolo Matematico di Palermo, Palermo, 1994. pp. 1–358.

52-06 (60-06)

Juan A. Cuesta-Albertos [Juan Antonio Cuesta] and Carlos Matrán-Bea [Carlos Matrán], Stochastic convergence through Skorohod representation theorems and Wasserstein distances (89–113);

Analysis, Algebra, and Computers in Mathematical Research:  - Page 127

Proceedings of the Twenty-First Nordic Congress of Mathematicians

Mats Gyllenberg, Lars Erik Persson - CRC Press 1994  408 pp

[22] D.W. Stroock and S.R.S Varadhan, "Multidimensional Diffusion Processes". Springer- Verlag, Berlin, 1979. [23] A. Szulga, On the Wasserstein metric, Trans. 8th Prague Conference, B, D. Reidel Publishing Company, Dordrecht, Holland, ...

Probability theory and mathematical statistics:  - Page 30, 90, 130, 142, 190

Proceedings of the Sixth Vilnius Conference (1993) : Vilnius, Lithuania, 28 June-3 July, 1993

Bronius Grigelionis - VSP 1994 - 742 pages ISBN9067641782, 9789067641784

Wasserstein, L.N. (1969). Markov processes on a countable product

Thus, this coupling means that at each step, the components maintain the same length of jumps with the biggest possible rate. In the time-discrete case, the classical coupling and the basic coupling are due to Doeblin (1938) and Wasserstein ...

Collected works of Pere Menal - Page 245, 435, 436

Pere Menal, Manuel Castellet, Warren Dicks - 1994 - 639 pages

INTRODUCTION Let R be a ring and let I be an ideal of R. In [ 5 ] Vasershtein proves that ...

Carlo Marchioro, Mario Pulvirenti - 1994 - 283 pages

Vasershtein distance

Kybernetika: Volume 30 - Page 85

Vasershtein distance

Algebraic Groups and Number Theory - Volume 139 - Page 606

Vasserstein L. N. [1] “On SL2 over an arithmetic Dedekind ring,” Mat. Sb. 89 2 (1972), 313-322. [2] “On full subgroups of Chevalley groups,” Tohéku Math. J. 37 4 (1985), 423-454. [3] “On arithmetic subgroups of simple algebraic groups,” Linear ...

Appendix by Jonathan D. Rogawski (Google eBook)

Alex Lubotzky - 1994

To be more precise, Kazhdan announced it only for rank > 3, but it was very quickly realized by Wang [Wanl], Delaroche-Kirillov [DKi] and Vaserstein [Vs] that the same holds for rank > 2 and over every local field. Some of the R-rank one real ...

Commutative ring theory:  - Page 67, 70, 73

Proceedings of the Fès International Conference

Paul-Jean Cahen - CRC Press, 1994 - 256 pages

Klingenherg, Lineare Gruppen iiher lokalen Ringen, Amer. J. Math. 83(1961), 137-153. [9] N. H. J. Lacroix, Two-dimensional linear groups over local rings, Canad. J. Math. 21(1969), 106-135. [10] L. N. Vaserstein, On the normal suhgroups of ...

Lecture notes in pure and applied mathematics - Volume 153 - Page 73

Cahen - 1994

J. Math. 83(1961), 137-153. [9] N. H. J. Lacroix, Two-dimensional linear groups over local rings, Canad. J. Math. 21(1969), 106-135. [10] L. N. Vaserstein, On the normal subgroups of GLn over a ring, L. N. S. 854, Springer (1981), 456-465.

[24] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) Optimal maps for the Z. 2 -Wasserstein distance. Preprint. ... (to appear) [26] Cuesta-Albertos, J. A., Ruschendorf, L. and Tuero-Diaz, A.

(1993) Optimal coupling of multivariate distributions and stochastic processes. ... [35] GELBRICH, M. (1990) On a formula for the L2-Wasserstein metric between measures on Euclidean and Hilbert spaces.

1995  24 books

Anales de la Academia Nacional de Ciencias Exactas, Físicas y Naturales, Volumes 47-48 - Page 23

1995

En 1972 Vasserstein, usando ideas de Swan y Serré, observa que para un espacio compacto X hay una estrecha relación entre la dimensión topológica de X y el rango estable del álgebra C(X). Con precisión Jsr(C(X,R))= dim(X) + l |sr(C(X …

Труды Математического института имени В.А. Стеклова - Page 290

1995

... изоморфизмом при » < р и эпиморфизмом при I = р+ 1. Проблеме вырезания посвящено большое количество работ разных авторов. Так, Вассерштейн [11] доказал, что условие А = А2 достаточно для вырезания в К \- теории (в ...

New modeling principles for games and a social dilemma example

by Byrne, Christopher C

The Pennsylvania State University, 1995

### On the Martingale Problem for Interactive Measure-Valued Branching Diffusions,- Page 48, 49

Volume 549 of American Mathematical Society: Memoirs of the American Mathematical Society

Edwin Arend Perkins - 1995

The Vasershtein metric d, on MF(E) is defined by do(u, v) = sup{|u(b) – v(d):

Dissertationes mathematicae: rozprawy matematyczne - Page 98, 100

L. Vesely, L. Zaj icek, Delta-convex mappings between Banach spaces and applications, 1989, 52 pp. CCXC. ... S. T. Rachev, R. M. Shortt, Duality theorems for Kantorovich-Rubinstein and Wasserstein polynomials, 1990, 39

1995

Since Mj (D([0, T], Z)) and D([0, T], M1 (Z)) are metric spaces, it is enough to check that when J (Q) < +00 and Qn Q in n — >oo Mj (£>([0, T], Z)), then n ... Making use of Wasserstein's metric (or Dudley's metric as well) (see [Rac], corollary ...

A. A. Suslin Received October, 1993 The algebraic K-theory of a ring with identity R can be denned in terms of the ... In particular, Wasserstein [11] proved that the condition A = A2 is sufficient for the excision in the ifi-theory (in [11], it is ...

Analysis of Censored Data:  - Page 61, 62, 63, 64, 65

Proceedings of the Workshop on Analysis of Censored Data, December 28, 1994-January 1, 1995, University of Pune, Pune, India

American Oriental Series

Volume 27 of Institute of Mathematical Statistics: Lecture notes, monograph series

Hira L. Koul, ‎J. V. Deshpande - 1995

10 Note that small differences in the tails of the distributions will have a large effect on the Lp Wasserstein distance. Now consider the ordinary Lp metric. For 1 < p < oo the Lp distance between proper distribution functions FI and F2 is ...

S.D. Howison, ‎F.P. Kelly, ‎P. Wilmott - 1995

For a # 0 a hasic convergence theorem of Vassershtein (19fi9) implies convergence of the process with transition prohahility Q to a unique equilihrium distrihution M on E. Using a perturhation of the Dohrushin-Vassershtein contraction ...

Handbook of Incidence Geometry: Buildings and Foundations - Page 1084, 1371

Francis Buekenhout - 1995

Van der Kallen, W. [1976] Injective stability for K2, in: Algebraic K-theory, Evanston, 1976, Lecture Notes in Mathematics. Vol. 551, Springer, Berlin, pp. 77-154. Vasershtein, L.N. [1969] On the stabilization of the general linear group over rings, ...

Tsit-Yuen Lam - 1995

Comment. This interesting exercise is a special case of a result of L. N. Vaserstein in algebraic if-theory (see his paper "Stable rank of rings and dimensionality of topological spaces", Funct. Anal. Appl. 5 (1971), 102- 110). The above solution is ...

Proceedings of a Conference at the Department of Mathematics, Uppsala University, May 1993 : Organizer, Matts Essén

Lennart Carleson, ‎Yngve Domar, ‎Anders Vretblad - 1995

[Roy80] G. Royer, Croissance exponentielle de produits markoviens de matrices alea- toires, Ann. Inst. Henri Poincar6, Probability et Statistique 16 (1980), 49-62. [V69] L. Vaserstein, Markov processes over denumerable products of spaces ...

Panoramas of mathematics: colloquia 93-94 - Page 80, 87

Bronisław Jakubczyk, ‎Stanisław Janeczko, ‎Bogdan Ziemian - 1995

Lyubich, L. Vaserstein, Isometric imbeddings between classical Banach spaces, cubature formulas, and spherical designs, Geom. Dedicata 47 (1993), 327-362. [M] V. Milman, A few observations on the connections between local theory and ...

CUP Archive, 1995  SBN0521227291, 9780521227292   345 pp

L. Vaserstein

James Laurie Snell - 1995 - 380 pages

[42] Vaserstein, Leonid, Markov Processes over Denumerable Products of Spaces, Describing Large Systems of Automata, ... [43] Vaserstein, Leonid and Leontovitch, Andrei, Invariant Measures of Certain Markov Operators Describing a ...

Handbook of incidence geometry: buildings and foundations - Page 1084, 1371

Francis Buekenhout - 1995 - 1420 pages

Canadian Mathematical Society, Peter A. Fillmore - 1995 - 286 pages

.. denotes the Vasserstein metric. (Mf(Rd),do) is a Polish space and do

Second International Conference on Algebra:  - Page 14

Dedicated to the Memory of A.I. Shirshov

Leonid A. Bokut, Alekseĭ Ivanovich Kostrikin, Semen Samsonovich Kutateladze - 1995

The theorem over general commutative rings has been investigated by many mathematicians and in particular by L. N. Vaserstein [38, 39]. For the Chevalley groups, some partial solutions have been given by E. Abe [1], E. Abe and K. Suzuki ...

L. N. Vaserstein, On the Normal Subgroups of GLn over a Ring, Lecture Notes in Math., 854, Springer, 1980, pp. 454-465.

Groups '93 Galway/St Andrews: - Page 402, 605

C. M. Campbell, E. F. Robertson, T. C. Hurley - 1995

The theorem of Dennis and Vaserstein also applies to many other groups such as Q = li_m Aut(F,,) where F,, is the free group of rank n. Is every element of Q a single commutator? Keith Dennis Problem 16. Let {1,p°, . . . ,p'} be a set of powers ...

Number Theory: Fourth Conference of the Canadian Number Theory Association - Page 91

Acknowledgement: I am grateful to the referee for providing the references [7], [8], to Koyama, and the reference to Conn and Vaserstein [3], who discover the solution 416396113 + (-41531726)3 + (-8241191)3 = 84. REFERENCES 1. APECS

Acknowledgement: I am grateful to the referee for providing the references [7], [8], to Koyama, and the reference to Conn and Vaserstein [3], who discover the solution 416396113 + (-41531726)3 + (-8241191)3 = 84. REFERENCES 1. APECS

A Primer of Algebraic D-Modules - Page 30

S. C. Coutinho - 1995

This follows an idea of L. Vaserstein and V. Katz; see [Bass, Connell and Wright 82, p.297]. The next section is a digression on results about derivations that will be required in §4. 3.

Different Aspects of Coding Theory:  - Page 201, 205

American Mathematical Society Short Course, January 2-3, 1995, San Francisco, California

Robert Calderbank - 1995

Y. I. Lyubich and L. N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs, Report PM 128, Penn. State Univ., Philadelphia PA, 1992. [57] A. L. Mackay, The ...

Columbia University Number Theory Seminar (, Dorian Goldfeld, Columbia University - 1995

That such questions are topical is clear from the recent work of Batyrev, Duke, Fomenko, Franke, Golubeva, Heath-Brown, Hooley, Iwaniec, Manin, Moroz, Rudnik, Sarnak, Schulze-Pillot, Silverman, Tschinkel, Vaserstein, and others (cf.

Analysis of censored data:  - Page 61, 62, 63, 64, 65

Proceedings of the Workshop on Analysis of Censored Data, December 28, 1994-January 1, 1995, University of Pune, Pune, India

Hira L. Koul, J. V. Deshpande, Institute of Mathematical Statistics - 1995 - 291 pages ISBN0940600390, 9780940600393

Wasserstein metrics, Wasserstein statistics

1996   22 books

Optimization of stochastic models:

the interface between simulation and optimization

by Pflug, George Ch

Kluwer international series in engineering and computer science, 1996

Matrix factorization

by Wheland, Ethel Ruth

The Pennsylvania State University, 1996

Patterns, codes and quasi-randomness

by Caragiu, Mihai

The Pennsylvania State University, 1996

Commonwealth Scientific and Industrial Organization. 1996

[21] Cuesta-Albertos, J. A. and Matran, C. (1991) Skorohod representation theorem and Wasserstein metrics. Preprint. [22] Cuesta-Albertos, J. A. and MatrAn, C. (1992) A review on strong convergence of weighted sums of random elements ...

Monte Carlo Methods in Statistical Mechanics Foundations and New Algorithms

Alan D. Sokal Department of Physics New York University

Lectures at the Cargese Summer School on \Functional Integration: Basics and Applications" September 1996 These notes are an updated version of lectures given at the Cours de Troisieme Cycle de la Physique en Suisse Romande (Lausanne, Switzerland) in June 1989.

... vol. 8, ed. C. Domb and J.L. Lebowitz (Academic Press, London ... R. Brooks, P. Doyle and R. Kohn, in preparation. 94] L.N. Vasershtein, Prob. Inform ...

Proceedings of the International Conference, Shijiazhuang '94

R. Wiegandt, ‎J.W. Gardner, ‎Shao-Xue Liu - CRC Press, 1996

... cancellation of modules (esp., of projective modules) comes from the well-known Serre's conjecture. In this paper, we will give a brief survey of some works of Evans, Goodearl, Menal, Vaserstein and Warfield, etc, on this area of research.

In 1980, Warfield [20] characterized the module M such that EndR(M) G srl : EndR(M) G srl iff M satisfies substitution property. In 1971, Vaserstein [18] studied srl condition and obtained the following results: srl condition is left-right symmetric;

We first follow Jensen (1993b) and give a precise definition of the the metric r and the Vasserstein metric R introduced in Section 3. Let p\ be the discrete metric on ft, i.e, p\{t,s) = 1 if i / s and zero otherwise. Define the symmetric metric p? on ft ...

Distributions with fixed marginals and related topics - Page xvi,, xvii,  97, 98, 99, 106, 118, 119

DISCRETIZATION FOR STOCHASTIC DIFFERENTIAL EQUATIONS, Lp WASSERSTEIN METRICS, AND ECONOMETRICAL

MR1485518 (98g:60004) Distributions with fixed marginals and related topics. Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Distributions with Fixed Marginals,

Doubly Stochastic Measures and Markov Operators held in Seattle, WA, August 1–5, 1993. Edited by Ludger Rüschendorf, Berthold Schweizer and Michael D. Taylor.

Institute of Mathematical Statistics Lecture Notes—Monograph Series, 28. Institute of Mathematical Statistics, Hayward, CA, 1996. xx+364 pp. ISBN: 0-940600-40-4, 60-06 (62-06)

Volume 76 of Lecture Notes in Statistics

David J. Aldous, Robin Pemantle - Springer-Verlag GmbH, 1996 -  225 pages ISBN 0387946233, 9780387946238

Sergio Bittanti, Giorgio Picci, North Atlantic Treaty Organization. Scientific Affairs Division -   1996 - 552 pages

Wasserstein distance

Stochastic modelling in physical oceanography - Page 276, 277

Robert J. Adler, Peter Müller, Boris Lʹvovich Rozovskiĭ - 1996 - 466 pages

Wasserstein metric, Wasserstein case

Mathematics in St. Petersburg - Page 128, 129, 139

Andrej A. Bolibruch, A. S. Merkur'ev, N. Yu Netsvetaev - 1996

L. Vasserstein, On the stabilization of the general linear group over a ring, Mat. Sb. 79 (1969), 405-424; English transl., Math. USSR-Sb. 8 (1969), 383-400. 13. M. Wodzicki, Excision in cyclic homology and in rational algebraic K-theory, Ann.

1996

[24] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) Optimal maps for the Z. 2 -Wasserstein distance. Preprint. [25] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) On lower bounds for the L2-Wasserstein metric in a Hilbert space. J. Theor. Prob. (to appear)

[26] Cuesta-Albertos,J.A.,ROschendorf,L. and Tuero-Diaz, A. (1993) Optimal coupling of multivariate distributions and ...

Group Theory in China - Page 44, 46, 47, 48, 52, 53, 54

Zhexian Wan, Sheng-Ming Shi - 1996

[39] Magum, B., Van der Kallen, W. and Vaserstein, L., Absolute stable rank and Witt cancellation for non-commutative rings, Inv. Math., 91 (1988), 525-543. [40] O'Meara, O.T., The automorphisms of the orthogonal groups fln(V) over fields, ...

Interaction between functional analysis, harmonic analysis, and probability - Page 286

Nigel J. (Nigel John) Kalton, Elias Saab, Nigel Kalton Elias Saab Stephen Montgomery-Smith - 1996

One can find results on Banach spaces with polynomial norms and on the structure of suhspaces of L^* with fc € N in the papers Reznick (1979), Lyuhich and Vaserstein (1993), Konig (1994). Let us formulate the result of Proposition 6 in the

Masters abstracts - Volume 34, Issues 1-2 - Page 770

Adviser: Richard Arratia Order Number MA1376449 We discuss the coupon collector's problem: Coupons are of m ... R we compute approximations for the total variation distance d-rv (£(T), £(T')) and the Wasserstein distance dw(£(T), £(r')).

Probabilistic Models for Nonlinear Partial Differential Equations: - Page 55, 71

Lectures Given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Montecatini Terme, Italy, May 22-30, 1995, Issue 162

Carl Graham, ‎Denis Talay, ‎Luciano Tubaro - 1996

Q-*°0<t<T t-a<,<t+a Then we have convergence in probability of the flow (/x?)t>o to (Qt)t>o *» E)([0,T],V(M )) endowed with the uniform topology. Proof. Let p be the Vaserstein distance on JR . We have to prove that suPo<i<TP(At?, Qt) tends in ...

Eiichi Bannai, ‎Akihiro Munemasa - 1996

In the present Section 4 this is put into the natural framework of isometric linear maps from real spaces with the 2-norm into real Banach spaces with the g-norm, following Reznick and Lyubich- Vaserstein. This leads to the main Theorem 4.4 ...

Dissertation Abstracts International: The sciences and engineering - Page 5145

1996

Adviser: Leonid N. Vaserstein Order Number DA9600144 The goal of this paper is to introduce a game theoretic modeling framework which allows the inclusion of empirically observable human tendencies other than rationality, and which ...

1996

L. Vaserstein, de la Universitat de l'Estat de Pennsilvania, EUA: «Products of conjugacy classes». Febrer de 1995. J. M. Burgués, de la Universitat Autonoma de Barcelona: «El problema de Neumann a dominis estrictament pseudoconvexos ...

Lectures on Probability Theory and Statistics:  - Page 58

Ecole D'été de Probabilités de Saint-Flour XXIV, 1994

R. L. Dobrúshín, ‎P. Groeneboom, ‎Michel LeDoux - 1996

For example, in applications to Markov interaction processes the Kantorovich distance is often called the Vasserstein distance. Below we discuss the main properties of the Kantorovich distance, but omit nontrivial proves of the facts which will ...

by Y Steinberg - ‎1996

Jan 15, 1996 - Prohorov and other distances of the Kantorovich-Vasershtein type, we show that the finite-precision resolvability is equal to the rate-distortion function with a fidelity criterion derived from the accuracy measure. This connection leads to new ...

1997   28 books

### Current Developments in Mathematics - Page 86, 90

Raoul Bott, ‎Arthur Jaffe, ‎S. T. Yau - 1997

diffusion. An interesting emerging theme in much current research is the interplay between Monge-Kantorovich mass transform ... Preparatory to describing this procedure, let us first define for the functions /+, /" € V the Wasserstein distance ...

### Sequences, Discrepancies and Applications - Page 410

Michael Drmota, ‎Robert F. Tichy - 1997 -

This concept is based on the so-called Lipschitz discrepancy which is also known in probability theory under the name Vaserstein metric; see also Bliimlinger [233]. In [826, 835, 834] Hlawka provides a detailed investigation of the Radon ...

Waring's problem for forms over fields of nonzero characteristic

by Bloy, Greg John

The Pennsylvania State University, 1997

Functional integration: basics and applications - Page 191

Cécile DeWitt-Morette, ‎Pierre Cartier, ‎Antoine Folacci - 1997

... V. J. Emery, Phys. Rev. B23, 429 (1981); B. Nienhuis, J. Stat. Phys. 34, 731 (1984). [92] A. Sinclair and M. Jerrum, Information and Computation 82, 93 (1989). [93] R. Brooks, P. Doyle and R. Kohn, in preparation. [94] L. N. Vasershtein, Prob.

1997

Theorem (Matthews, Vaserstein, Weisfeiler). If G is an almost simple, simply connected closed subgroup of Gln(Q) and T a finitely generated subgroup of G(Q), which is Zariski dense in G, tnen but for a finite number of primes p, r/p = GP(FP).

1997

Adviser: Leonid N. Vaserstein Order Number DA9702416 In this work, different factorisations of matrices are considered. Initially, we consider the group GLnR of all invertible n by n matrices over a ring R satisfying the first Bass stable range ...

Resenhas IME-USP - Volume 3 - Page 356

1997

[2] Leontovich, A. M. and Vaserstein, L. N. (1970) On invariant measures of some Markov operators which describe a homogeneous random medium. Problems of Information Transmission 6, 1, pp. 71-80 (in Russian). [3] Toom A. L. A Family of ...

Sequences, Discrepancies and Applications - Page 410

Michael Drmota, ‎Robert F. Tichy - 1997

This concept is based on the so-called Lipschitz discrepancy which is also known in probability theory under the name Vaserstein metric; see also Bliimlinger [233]. In [826, 835, 834] Hlawka provides a detailed investigation of the Radon ...

Reviews in Number Theory, 1984-96: - Page 222, 523

As Printed in Mathematical Reviews, Volume 5

1997

It is proved that every nun matrix over R is a sum of 3 squares if and only if the discriminant of R is congruent to I modulo 4. The proof uses Vaserstein's descriptions of sums of squares in the matrix ring over an arbitrary commutative ring R with ...

Computational Science for the 21st Century - Page 7

Marie Odile Bristeau, ‎Garret J. Etgen, ‎W. Fitzgibbon - 1997

The Wasserstein distance, [12], between two probability measures u,, and m on R is dOi,,^)2 = inf J I x - y I2 dp(x,y), ... The variational problem (3.4) is an example of a Monge-Kantorovich mass transference problem with the cost function c(x,y) ...

Geometry of Cuts and Metrics - Page 34, 161

M. Deza, ‎Monique Laurent - Springer, 1997 ISBN 354061611X, 9783540616115  587 pages

Isometric embeddings among the Lp-spaces. There is a vast literature on the topic of isometric embeddings among the various Lp-spaces; see, e.g., Wells and Williams [1975], Dor [1976], Ball [1987] , Lyubich and Vaserstein [1993].

... among them, the following are based on the Li-metric: q The usual Li-metric between the random variables: ) = E(\X -Y\)= \x(u) - y Jn • The Monge-Kantorovich-Wasserstein metric (i.e., the Lj-metric between the distribution functions): k(X,Y)= I ...

David M. Evans - 1997  052158955X, 9780521589550052158955X, 9780521589550

... 0 lemmas relating simplicity properties of an algebraic group G to its restriction G(F) to a pseudofinite field F (§6); 0 a fast though non-effective model-theoretic proof of a result of Matthews, Vaserstein and Weispfeiler on reduction at primes ...

Abstracts of papers presented to the American Mathematical Society - Volume 18 - Page 390

American Mathematical Society - 1997  052158955X, 9780521589550

On the connections between the Wasserstein metric and diffusions.

Samuel Kotz, Campbell B. Read, David L. Banks - 1997 - 582 pages

Differential equations and applications: - Page 109, 117, 118, 120

proceedings of the US-Chinese conference, held in Hangzhou, June 24-29, 1996

P. W. Bates - 1997 - 363 pages

The Wasserstein metric is equivalent to a topology on the ... Finally, we offer an observation about the Tsallis entropy, [37] recently introduced to investigate Levy like super-diffusion and fractal generation.

Geometry of cuts and metrics - Page 34, 161

, Monique Laurent - 1997 - 587 pages

Wasserstein

Gaussian Hilbert spaces - Page 207

Svante Janson - 1997 - 340 pages

Wasserstein distance

Malempati Madhusudana Rao - 1997 - 393 pages

Wasserstein metrics

Gordon and Breach Science Publishers, 1997

Thirty-one invited addresses at the International Congress of Mathematicians in Moscow, 1966  - Page 196

Volume 70 of American Mathematical Society Translations Series 2

M. A. Aizerman, D. V. Anosov, V. I. Arnold - 1997  ISBN0821817701, 9780821817704  266 pp

3) F is the group of integral points of a spinor group connected with a quadratic form, in which the number of negative squares, and also the number of positive squares, is not less than two (L. N. Waserstein, in press). In all the cases ...

Modern Theory of Summation of Random Variables - Page 400

Givens, GR, and Schorff, R.M. (1984). A Class of Wasserstein Metrics for Probability Distributions. Dept. Math. ... A generalization to Ornstein's distance with applications to information theory. Ann. Probab. 3, 315-318. Grigorevskii, N.V. (1986).

1996 Ams-Siam Summer Seminar in Applied Mathematics, June 17-22, 1996, Williamsburg,Virginia

Volume 33 of Lectures in applied mathematics, v. 33

G. George Yin, George Yin Qing Zhang -  AMS 1997 ISBN0821807552, 9780821807552 399 pp

Wasserstein metric

In fact one may base a distance concept on the existence of couplings: We define the Wasserstein distance r for inner regular probability measures ^i and /i2 on a general metric space (R, r): r(^1,^2) = inf{E(r(Xi,X2)) : (Xi,Xi) is a bivariate ...

Strassen.s construction suggests the close relation between distances of probability measures and coupling constructions. In fact one may base a distance concept on the existence of couplings: We define the Wasserstein distance r for inner regular probability measures ^i and /i2 on a general

metric space (R, r): r(^1,^2) = inf{E(r(Xi,X2)) : (Xi,Xi) is a bivariate random variable (2) with given marginals Xi ...

Stochastic Differential and Difference Equations - Page 336

I Csiszár, György Michaletzky - 1997

[KMW] G. Kallianpur, I. Mitoma and R. L. Wolpert, Diffusion equation in duals of nuclear spaces, Stochastics, 29 (1990), 1-45. [EK] S. ... [Sz] A. Szulga, On the Wasserstein metric, Transactions of the 8th Prague Conference, (1978), 267-273.

Surender Kumar Jain, S. Tariq Rizvi - 1997

The following lemma is due to Vaserstein M. Let us note that if i, j and k are pairwise distinct integers, and a, b are in our ring, then the commutator [/ + aEij,I + 6F/j^] is equal Lemma 2.2. Let W be any nonzero ideal in (n. Then, for any natural

Satya Mandal - 1997

Theorem 5.1.1 (Suslin) En(j4) is a normal subgroup of GLn(A) for any integer n > 3. We need the following lemmas to prove Theorem 5.1.1. Lemma 5.1.2 (Vaserstein) Let a be an r x s -matrix and 0 be an 8 x r-matrix. Suppose I + a/3 is in GLr(A) ...

Cyclic Homology - Page 356, 380, 497

Jean-Louis Loday - 1997

The original proof is due to Vaserstein [1976] and Wagoner [1977]. We refer to Suslin [1981] for a short proof of this technical and important result. D 11.2.15 Corollary. The Volodin space fits into a natural homotopy fibration

Memòria d'activitats: curs 1994-1995 - Page 183, 264

... 175 Vaquero, T. 205 Vaserstein, L. 183 Vayreda, J. 204, 207 Vázquez i García, Merce 119 Veciana Tormo, Robert 144 Veerman, J. J. P. 176, 193 Vegara i Carrió, Josep M. 142 Velickovic, B.

Multivariate approximation: recent trends and results :  - Page 26

Proceedings of the 2nd International Conference on Multivariate Approximation Theory Held at Witten-Bommerholz, Germany, September 29-October 4, 1996

Werner Haussmann, K. Jetter, Manfred Reimer - Akademie Verlag, 1997   ISBN3055017706, 9783055017704

Lyubich, L. Vaserstein: Isometric imbeddings between classical Banach spaces, cubature formulas, and spherical designs, Geom. Dedicata 47 (1993), 327-362. [10] B. Reznick: Sums of even powers of real linear forms, Memoirs Amer. Math.

1998 23 books

Alexandrov geometry and dynamics of semi-dispersing billiards on Riemannian manifolds

by Ferleger, Serge

The Pennsylvania State University, 1998

We explore a connection between theory of semi-dispersing billiards on smooth Riemannian manifolds and non-regular Riemannian geometry. We construct several...

Particle systems and generalized billiards

by Semenovich, Asya

The Pennsylvania State University, 1996

Mass Transportation Problems: Volume I: Theory - Page ix, 40, 436, 442, 446, 461, 464, 468, 469, 481, 496, 507

Svetlozar T. Rachev, ‎Ludger Rüschendorf - 1998

On a formula for the V Wasserstein metric between measures on Euclidean and Hilbert spaces. Preprint 179, 1988. Sek- tion Mathematik der Humboldt-Universitat zu Berlin. 180] M. Gelbrich. V- Wasserstein- Metriken und Approximationen sto- ...

1998

Using Bass's result, Dennis and Vaser- stein, [2], show that for n sufficiently large (one can check that n > 82 will do), every A £ SL(n, Z) can be written as a product U1L1U2L2U3L3 where Ui, U2, U3 are unipotent upper-triangular and L\, L2, ...

Publications du Laboratoire d'analyse numérique - Page 32, 34, 35

1998

-Interpolation of the L2 and the Wasserstein distances

World directory of mathematicians - Page 851

Vaserstein, Leonid N..

Proceedings of the International Congress of  Mathematicians: - Page 298. 676

Invited lectures

L.N.Vaserstein. On systems of particles with finite range and/or repulsive interactions. Comm.

Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996  - Page 157

We remark that this result was previously obtained by Vaserstein in the case of classical simple groups for a number field K and 5-arithmetic subgroups with K- rank > 2 (1973) and by Tits in the case of Chevalley groups (1976). This result ...

Probability Toward 2000 - Page 337

Luigi Accardi, C. C AUTOR HEYDE - 1998

[10] Cuesta, J. A. and Matran, C. (1994). Stochastic convergence through Skorohod representation theorems and Wasserstein distances. ... The impossible coupling: on hidden variables models in quantum mechanics. Proceedings of the 51st ...

K-Theory for Operator Algebras - Page 36, 290

... and Vaserstein 1984] R. H. Herman and L. N. Vaserstein, "The stable range of C*-algebras", Invent. Math. 77:3 (1984), 553-555. [Higson 1983] N. Higson, On Kasparov Theory, M.a. thesis, Dalhousie University, Halifax, 1983. [Higson 1988] ...

David E. Evans, Yasuyuki Kawahigashi - 1998

(Herman and Vaserstein 1984) have shown that (for C* -algebras) topological stable rank is the same as Bass stable rank and (Villadsen (preprint 1997)) has shown that for each n € N, there is a simple C* -algebra of topological stable rank n.

1998

... (x,y) = A^(y,x) pm(y) Pm(z)' and apply the previous results. We omit details. Proposition 6.3 is proved. The Vaserstein distance. For any x and x' in [0, £] we set (7.1) and then we define the Vaserstein distance D,t(<m(n, u) of. 70 A. De Masi, ...

Mass Transportation Problems: Volume I: Theory - Page 404, 436, 442, 464, 469, 481

Svetlozar Todorov Rachev, Ludger Rüschendorf - 1998 - 508 pages

Wasserstein norm

llUllu U#(<P) (separable) metric space 92 333 shift operator 65, 390 SkorohodI Lebesgue metric 34 97 dual form of SP(P1> P2) 97 measure space 36 392 ... optimal value 252 total variation distance in X(IRd) 134 optimal value of the dual problem 253 absolute pseudomoment

194 105 Brownian motions 278 LP-Wasserstein metric / LP-Kantorovich metric 40 354 transposed function 172 “output” fiow 71 ...

On a formula for the L2-Wasserstein metric between measures on Euclidean and Hilbert spaces. Math. Nachr., 147:185— 203, 1990.

Peter Armitage, Theodore Colton - 1998 - 690 pages

Microsurveys in discrete probability: DIMACS workshop, June 2-6, 1997 - Page 32, 39

David J. Aldous, James Propp - 1998 - 220 pages

Springer, Lecture Notes in Mathematics, vol. 1117. [3] Arratia, R. (1996) Independence of small prime factors: total variation and Wasserstein metrics, insertions ...

Vesselin S. Drensky, A. Giambruno, Sudarshan K. Sehgal - 1998 - 314 pages

[97] L.N. Vaserstein, On the group SLo over Dedekind rings of arithmetic type, Math. USSR Sbornik 18 (1972), 321-332.

[98] L.N. Vaserstein, The structure of classic arithmetic groups of rank greater than one, Math. USSR Sbornik 20 (1973),

Daniel Bump  1998 - 574 pages It is a deep theorem of Vaserstein (1972) that the Hilbert modular group is always generated by these elements, so this ...

Although we cannot prove Vaserstein's result in these notes, we will show that it is true for K = Q(\/5) (Exercise 1.10.1), ...

Variational problems in transport theory with mass concentration. (English)

Tesi. Scuola Normale Superiore Pisa (Nuova Serie) 4. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Dissertation). xxxii, 198~p. EUR~18.00/net; SFR~30.00; \\$~24.95; \sterling~14.00 (2007). MSC2000: *35-02 90B20 49N60,

Reviewer: Giuseppe Buttazzo (Pisa)

Wasserstein distances

Alberto Facchini - 1998, 2012  - 285 pages

Then sr(C(X)) = sr(C(X)) = dim(X) + 1 [Vasershtein]. Hence the stable range of the

[Vasershtein] L. N. Vasershtein, Stable rank of rings and dimensionality of topological spaces, Funct. Anal. Appl. 5 (1971), 102I110. [Warfield 69a] R. B. Warfield, ...

Cyclic Homology - Page 356, 380, 497

Jean-Louis Loday - 1998

The original proof is due to Vaserstein [1976] and Wagoner [1977]. We refer to Suslin [1981] for a short proof of this technical and important result. D 11.2.15 Corollary. The Volodin space fits into a natural homotopy fibration X(A) -> BGL(A) ...

Proceedings of the International Congress of Mathematicians:  - Page 298, 676

August 18-27, 1998, Berlin, Germany, Volume 2

Gerd Fischer, ‎Ulf Rehmann - 1998

Phys., 124, No.2, 217-227, 1989. [Th-Sa] W.Thurston, G.Sandri. Classical hard sphere 3-body problem. Bull. Amer. Phys. Soc, 9, 386, 1964. [Va] L.N.Vaserstein. On systems of particles with finite range and/or repulsive interactions. Comm.

Andrew Laine, ‎Michael A. Unser, ‎Akram Aldroubi - 1998

K. Dennis, B. Magurn, and L. Vaserstein, "Generalized euclidean group rings," J. reine angew. Math. 351, pp. 113-128, 1984. 15. M. Nelson, "Data compression with the Burrows- Wheeler transform," Dr. Dobb's Journal , September 1996. 16.

Charlemagne and his heritage - Volume 2 - Page 360

Paul Leo Butzer, ‎Max Kerner, ‎Walter Oberschelp - 1998

[22] Lyubich,Y.I., Vaserstein.L.N.: Isometric Embeddings between Classical Ba- nach Spaces, Cubature Formulas, and Spherical Designs; Geometriae Dedicata. 47(1993),327-362. [23] Schreiber,P.: Zur Geschichte des sogenannten Steiner- ...

1999   25 books

### 1999

Algebras and combinatorics:

an international congress, ICAC'97, Hong Kong

by Shum, K. P; Taft, Earl J; Wan, Zhexian 1999

Encyclopedia of Statistical Sciences , Update - Page 848

Samuel Kotz, ‎Campbell B. Read, ‎David L. Banks - 1999

Jacobi forms over number fields

by Skogman, Howard, 1972

1999

1999

... marginal distributions are, respectively, P and Q. Another form of mass transport problem, formulated by Kantorovich (cf. ... and phrases: Monge-Kantorovich transportation problem, optimal coupling, cyclic monotonicity, Levy-Wasserstein ...

Seminaire de Probabilites XXXIII - Page 379, 386

J. Azema, M. Emery, M. Ledoux - 1999

Nachr., 147:185-203, 1990. Givens, C. R., and Shortt, R. M . A class of Wasserstein metrics for probability distributions. Michigan Math. J., 31:231-240, 1984. GOLDSTEIN, S. Maximal coupling. Z. Wahrscheinltchkeitstheor. Verw. Geb., 46:193- ...

Monge Ampere Equation: Applications to Geometry and Optimization :  - Page 2, 4, 82, 87, 95, 96, 102, 103

NSF-CBMS Conference on the Monge Ampère Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University

Luis A. Caffarelli, Mario Milman - AMS 1999 - 172 pages ISBN0821809172, 9780821809174

More precisely they show that the heat equation is the gradient flow of the Dirichlet integral with respect to the L2 distance as well as the gradient flow of the entropy with respect to the Wasserstein distance. A weighted combination of these ...

Surgery on Compact Manifolds - Page 297

CTC Wall, A Ranicki - 1999

C. T. C AUTOR WALL, A. A AUTOR RANICKI - 1999 -

[VI] VASERSTEIN, L. Stability of the unitary and orthogonal groups over rings with involution. Math. S6. 81 (1970), 328-351.

based on "Structures métriques des variétés Riemanniennes"

Gromov Springer, Springer, 1999 - 585 pages ISBN0817638989, 9780817638986

Contractions in the 2-Wasserstein Length Space and Thermalization

Raoul Bott, Arthur Jaffe, S. T. Yau - 1999

diffusion. An interesting emerging theme in much current research is the interplay between Monge-Kantorovich mass transform ... Preparatory to describing this procedure, let us first define for the functions /+, /" € V the Wasserstein distance ...

Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem  - Issue 653 - Page 4

Lawrence C. Evans, Wilfrid Gangbo - 1999

The resulting distance and its variants are called the Monge-Kantorovich-Rubinstein-Wasserstein-etc. metrics; see Rachev [R] ... We can consequently interpret the limit of (1.21) as p — » oo as an "infinitely fast/infinitely slow" diffusion limit (cf.

Shape recognition via Wasserstein distance - Page 1, 5, 9,34, 35

Wilfrid Gangbo, Robert J. MacCann - 1999 - 34 pages

Abstract. The Kantorovich-Rubinstein-Wasserstein metric ...

Jacques Azéma, M. Emery, Michel Ledoux - 1999 - 418 pages

[2] Abdellaoui, T., et Heinich, H. Sur la distance de deux lois dans le cas vectoriel. C. R. Acad ... 3] Aldous, D. J. Shift-coupling. ... 6] Cuesta-Albertos, J. A., and Matran, C. Notes on the Wasserstein metric in Hilbert spaces. ...

J. A., Matran, C, and Tuero-Diaz, A . On lower bounds for the i2-Wasserstein metric in a Hilbert space.

Stochastic dynamics - Page 402, 427, 440

Hans Crauel, Matthias Gundlach - 1999 - 440 pages

This extension will be achieved by a combination of Wasserstein metric and weighted Sobolev norm estimates.

René Carmona, Boris Rozovskii - 1999 - 334 pages -

Let Lip(Rd) = {/ : Rd -> K : \f(*)-f(v)\ < k-y|, l/MI < i, v*,y e Rd}. if w e MF(Rd), d^v) = sup{ \n(f)-v(f) I : / £ Lip(Ud)} denotes the Vasserstein metric.

Monge Ampère equation: applications to geometry and optimization :  - Page 2, 4, 82, 87, 95, 96, 102, 103 (8 pages)

Applications to Geometry and Optimization : NSF-CBMS Conference on the Monge Ampère Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University

Luis A. Caffarelli  ISBN0821809172, 9780821809174

-Interpolation of the L2 and the Wasserstein distances. When two densities P0 and pr must be compared, it is very natural to use the Wasserstein distance.

However, sometimes, the simpler L2 distance : (1-18) d/Xpo, Pr)2 = j \po(x) - pr(x)fdx ...

Heping Zhang, Burton Singer - 1999 - 226 pages

Wasserstein distance

RAIRO.: Modélisation mathématique et analyse numérique :    - Page 837, 838, 849, 860

M2N. Mathematical modelling and numerical analysis, Volume 33, Pages 651-1319

We can introduce a Wasserstein metric for this purpose. ... is the metric we shall introduce (the Wasserstein metric). ... is the classical convection diffusion

Algebra, K-Theory, Groups & Education:  - Page 112, 124, 216, 237

On the Occasion of Hyman Bass's 65th Birthday

Hyman Bass, T. Tsit-Yuen Lam, Andy R. Magid - 1999

88, Birkhauser, 1990, pp. 247-435. [Va69] L. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR- Sb. 8 (1969), 383-400. [Va71] L. Vaserstein, The stable range of rings and the dimension of topological spaces, ...

Looking forward, Bass' stable range results were improved in [Bass] and again in Vaserstein's work [Va69] [Va71]

A. Pott, P. Vijay Kumar, Tor Helleseth - 1999

While constructing the isometric embedding ^ _> gNW+W (see Lyubich and Vaserstein (1993)) he augmented the set of N2/2 lines from Cameron and Seidel (1973) by the standard coordinate frame. This did not increase the set of prescribed

Surgery on Compact Manifolds - Page 297

[VI] VASERSTEIN, L. Stability of the unitary and orthogonal groups over rings with involution. Math. S6. 81 (1970), 328-351. [Wl] WAGONER, J. B. Smooth and piecewise linear surgery. Bull. Amer. Math. Soc. 73 (1967), 72-77. [lY2] WAGONER

Introduction to the Theory of Games: Concepts, Methods, Applications - Page 128, 326, 339

Ferenc Forgó, Jeno Szép, Ferenc Szidarovszky - 1999

[17] Byrne, C.C. and Vaserstein, L.N., An improved algorithm for finding sad- ...

48 Vaserstein, 128 veto player, 231 von Neumann, 122, ...

Number Theory:  - Page 33

Fifth Conference of the Canadian Number Association, August 17-22, 1996, Carleton University, Ottawa, Ontario, Canada

A. Bremner, Integer points on a special cubic surface, Duke Math. J. 44 (1977), no. 4, 757-765. 4. W. Conn and L. N. Vaserstein, On sums of three integral cubes, The Rademacher Legacy to Mathematics (University Park, PA, 1992), Contemp.

Wolfgang Krull: gesammelte Abhandlungen - Volume 1 - Page 35

Wolfgang Krull, Paulo Ribenboim - 1999

Dabei hat man zum Beweis von (i) nur ganz elementare Schlußweisen der kommutativen Algebra anzuwenden, (ii) benutzt dagegen das Resultat von Q u i 1 1 e n - Suslin-Vaserstein [32], [40], 1976: Jeder projektive Modul über einem ...

Number theory in progress:  - Volume 2 - Page 1128

proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in honour of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Elementary and analytic number theory, Volume 2

Andrzej Schinzel, Kálmán Györy, Henryk Iwaniec - 1999

[A96] Arratia, R., Independence of small prime factors of a uniformly distributed integer : total variation and Wasserstein metrics. Manuscrit, 1996. [AS97] Arratia, R., Stark, D., A total variation distance invariance principle for primes, ...

2000  27 books

Первичный радикал классических групп над ассоциативными кольцами

Голубков, Артём Юрьевич — 01.01.06 — Москва, 2000

... ; Т.2, Новосибирск: Изд-во НГУ, 1981.

3. Л. Н. Васерштейн, Стабилизация унитарных и ортогональных групп ...

Vsesoi︠u︡znyĭ algebraicheskiĭ simpozium: - Page 352, 353

30- ii︠u︡ni︠a︡ - 2 i︠u︡li︠a︡ 1975 g. : tezisy dokladov, Volume 2

Вассерштейн Л.Н.Стабильный рант колец и размерность топологических пространств, Функц. анализ, 1971,5,12,17-27. 4. Вассерштейн Л.Н.,Суслин А. А. Проблема Серра о проективных модулях над кольцами многочленов и ...

Записки научных семинаров ПОМИ - Volumes 272-275 - Page 84

Математический институт им. В.А. Стеклова. С.-Петербургское отделение - 2000 - ‎Snippet view - ‎More editions

Н. А. Вавилов, О подгруппах расщепимых классических групп. — Тр. Мат. ин- та им. В. А. Стсклова АН СССР 183 (1990), 29-41. 9. Л Н.Васерштейн, А. А. Суслин, Проблема Серра о проективных модулях над кольцами многочленов и ...

### Early vision using distributions - Page 43, 105

3.5.1 A Faster Earth Mover's Distance The match distance used by Shen and Wong finds the difference between two one- ... This metric was described earlier by Vallender [112], who showed it as a restricted case of the Wasserstein distance ...

### Mathematics and Computer Science: Algorithms, Trees - Page 247

... Z* to prove convergence towards this fixed point in some appropriate metric. Recall that the L2-Wasserstein (or Mallows) distance between two probability measures Q and 0 on R with finite second moment is defined as X=a, Y=0 := inf ^E(X ...

### Suid-Afrikaanse Statistiese Tydskrif - Volumes 34-35 - Page 192

2000

The nature and structure of print- based material will have to be versatile for use in distance and contact tuition. Goodness-of-fit tests for location and scale families based on a weighted L2-Wasserstein distance measure T.deWfet Dept. of ...

Algebraic function fields with asymptotically many rational places and improvements of the Gilbert-Varshamov bound

by Maharaj, Hiren

The Pennsylvania State University, 2000

Denote by A (q ) the upper limit of the ratio of the maximum number of points of an algebraic curve (smooth, projective, absolutely irreducible) defined over...

Ph.D. committee member Vaserstein

On Dobrushin's Way: From Probability Theory to Statistical Physics - Page 237

R. Robert Adolfovich Minlos, ‎S. B.. Chlosman, ‎Yu. M. Suhov - 2000

Leonid Vaserstein. Nikolai Vassiliev and others). ... The talk quickly turned to a dispute between Dobrushin and Pyatecky 's group, and at a certain point somebody (I think it was Vaserstein) said, addressing his colleagues. "Let's postpone the ...

Hard Ball Systems and the Lorentz Gas - Page 26, 27, 34, 48, 88, 126, 143

L.A. Bunimovich, D. Szasz - 2000

[Se-Va] A. Semenovich, L. Vaserstein. Uniform estimates on the number of collisions in particles' systems. preprint. [St-1] L. Stojanov. An estimate from above of the number of periodic orbits for semi-dispersed billiards. Comm. Math. Phys. 124

Units in Skew Fields - Page vii, 32,  78

By Ernst Kleinert    2000

Maximal Subgroups of infinite index in finitely generated linear groups, J. of Algebra 69 (1981) 1-23 [MOV] Magurn, B., R. Oliver and L. Vaserstein. Units in Whitehead Groups of Finite Groups, J. of Algebra 84 (1983) 324-360 [MVW] Matthews, ...

Svetlozar Todorov Rachev, S. Mittnik - 2000

The methods employed are based on the evaluation of drift and diffusion coefficients over grid points. ... method by replacing the increments of the Wiener process by other "simpler" i.i.d. random variables: He uses Lf- Wasserstein metrics

and let (Xt) and (Xi) be two diffusion processes with L and L as their generators. We show thai the Kantorovich- Wasserstein's distance of these two processes is dominated by C{log[2 + log" (||.4 -.4||L2 )]}-> where 7 and C are positive ...

Algebra colloquium - Volume 7 - Page 161, 189, 196

[66] L.N. Vaserstein, Stabilization of unitary and orthogonal groups over a ring, Math. USSR Sbornik 10 (1970) 307-326. [67] L.N. Vaserstein, On normal subgroups of GL„ over a ring, in: Algebraic K-Theory, Lecture Notes in Mathematics,

Polynomial Automorphisms: And the Jacobi Conjecture - Page 263

A R P Van Den Essen - 2000

A first relationship with rings of differential operators was found by Vaserstein and Kac. They observed that if every ^-endomorphism of the n-th Weyl Algebra A„ is surjective, then JC(k, n) follows! It was later remarked by the author that in fact ...

Algorithmic Number Theory:  - Page 62, 63

4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings

Volume 1838 of Lecture Notes in Computer Science

Wieb Bosma - 2000

[CV] Conn, W., Vaserstein, L.N.: On sums of integral cubes. Pages 285-294 in The Rademacher legacy to mathematics (University Park, 1992), Contemp. Math. 166, AMS 1994.

[PV] Payne, G., Vaserstein, L.N.: Sums of three cubes. Pages 443-454 in The Arithmetic of Function Fields, de Gruyter, 1992. [S] Stahlke, C: Algebraic curves over (Q) with many rational points and minimal automorphism group. Lnternational

Advances in Steiner Trees - Page 13

Ding-Zhu Du, J.M. Smith, J. Hyam Rubinstein - 2000

17] Y.I. Lyubich and L.N. Vaserstein, Isometric Embeddings between Classical Banach Spaces, Cubature Formulas, and Spherical Designs, Geome- triae Dedicata, 47(1993), pp. 327-362. 18] CM. Petty, Equilateral sets in Minkowski space, ...

An Introduction to Superprocesses - Page 130

Alison Etheridge - 2000

The Wasserstein metric on MF (R . ) is given by , v) = sup {|{0, ft)-(4,,v}\:4,€ Lip (Rd) } . REMARK 7.3. For any metric space, (S,d), we can define the corresponding Wasserstein metric on Mp(S) in an obvious way. The topology induced on Mp(S) ...

Sorting: a distribution theory - Page xi, 161, 164, 174, 191, 192, 343, 345, 385, 394

Hosam Mahmoud Mahmoud - 2000 - 394 pages

Alison Etheridge - 2000 - 187 pages

Wasserstein metric

Wasserstein distance

Galen R. Shorack - Springer 2000 - 585 pages ISBN0387989536, 9780387989532

Exercise 3.4 (Wasserstein distance) For k = 1 or 2, define Fk {F : F is a df, and ...

MR1764176 (2001m:60043) Graf, Siegfried; Luschgy, Harald Foundations of quantization for probability distributions. Lecture Notes in Mathematics, 1730.

Springer-Verlag, Berlin, 2000. x+230 pp. ISBN: 3-540-67394-6 (Reviewer: Kalev Pärna), 60E99 (60F25 62H05 94A12)

Coupling, stationarity, and regeneration - Page 56

Hermann Thorisson - Springer New York, 2000 - 517 pages

Information theory: 50 years of discovery: Volume 1 - Page 37, 49, 739

Sergio Verdú, Steven W. McLaughlin, IEEE Information Theory Society - 2000

Vasershtein

Development of mathematics 1950-2000 - Page 1299

Jean-Paul Pier - 2000 - 1372 pages

Vasershtein L.N., Foundations of algebraic K-theory, 89-156.

Ilʹia Iosifovich Piatetskiĭ-Shapiro, James Wesley Cogdell, S. Semen Grigor'evich Gindikin - 2000

is the group of integral points of a spinor group connected with a quadratic form, in which the number of negative squares, and also the number of positive squares, is not less than two (L. N. Waserstein, in press). In all the cases considered ...

Amenable groupoids - Page 85

[L-V] Lyubich, Y.I. and L.N. Vasserstein. Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata 47 (1993), 327-362. [M] Martinet, J. Les reseaux parfaits des espaces euclidiens.

2001   29  books

The John Simon Guggenheim Memorial Foundation 1925-2000: a seventy-fifth anniversary record - Page 250, 481

by Tanselle, G. Thomas; Kardon, Peter Franklin; Schwager, Eunice R 2001

Vaserstein

The Steiner Ratio - Page 283

by Cieslik, Dietmar 2001

Steiner's Problem concerns finding a shortest interconnecting network for a finite set of points in a metric space. A solution must be a tree, which is called...

[157]  Y.I. Lyubich and L.N. Vaserstein. Isometric … 1993.

### Mathematical studies: - Volumes 15-16 - Page 13, 24

2001

8. rcwiy6HHK H. 3. 0 noAHoU Aune&HoU zpynne Had accouuamuenbiM KOAbtfOM // YMH. - 1973. - T.27, J03. - C. 179-180. 9. Vaserstein L. N. On the normal subgroups GL„ over a ring // Springer Lecture Notes. 854 (Algebraic K-theory).

### Markov Processes and Related Fields - Volume 7 - Page 169

2001

We consider on ^(R2) and ^(Dr) the Vaserstein metrics: p{Qi,Q2) = M{E{\V-W\2)ll2/C{V)=qu C(W)=q2}, (4.1) Pt(QiM = inf {E{sup\Vt-Wt\2)1/2/C(V) = Qu C(W) = Q2\. (4.2) 1 fnTI ' A(0) = /W[t,„](|0|). We set (4.3) Let us remark that b - bi tends to 0 ...

Kannan, V. Lakshmikantham - 2002 - 763 pages

Wasserstein metric

### Annales de L'I.H.P.: Probabilités et statistiques - Volume 37 - Page 225, 234

2001

The Vassershtein distance: We let V(RA) denote the set of Borel probability measures on RA. For a finite set A and v, v e V(RA), we define ftA(v,TJ) = inf{^ J n{dada)\ax-ax\\n&K,(y,v)Y (1.15) JC€ARAxRA where £(v, v) = {m eV(RA xRA);^((/ff xRa) ...

# The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures

Yves Meyer - 2001

The first chapter of this book considers image processing, more precisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000.

# July 7-14, 2001, Vancouver, British Columbia, Canada, Volume 1

2001

Earth Mover's distance was first introduced as a purely empirical way to measure texture and color similarities. ... And there is an equivalent metric on probability distributions known as Mallows, or Wasserstein, distance, which has a clear ...

The Earth Mover's Distance is the Mallows Distance: Some Insights from Statistics Elizaveta Levina, Peter Bickel ... And there is an equivalent metric on probability distributions known as Mallows, or Wasserstein, distance, which has a clear ...

### Medical Imaging: Image processing - Parts 1-3 = 2 pages

Josien P. W. Pluim, ‎Kenneth M. Hanson, ‎Milan Sonka - 2001

A common denominator of both previous approaches is the use of KL as a "distance" between joint intensity distributions. ... When applied to normalized histograms, EMD can be seen as the discrete version of the so-called Wasserstein ...

Asymptotics of locally interacting Markov chains with global signals pdf - Page 23, 24, 28

by Horst, Ulrich Dissertation  May 31, 2001

... with a perturbation of the Dobrushin-Vasserstein contraction technique we show that macroscopic convergence...

Boris Borisovich Venkov, ‎Jacques Martinet - 2001

Symmetric squares and lattice minima. Preprint, Essen. [L-V] LYUBICH, Y. I. and L.N. VASSERSTEIN. Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata 47 (1993), 327-362.

Proceedings : IEEE Workshop on Variational and Level Set Methods in Computer Vision : 13 July, 2001, Vancouver, Canada

2001

1 Finding an Initial Mapping We will now propose an explicit algorithm to solve the Monge—Kantorovich problem. So we want to minimize the L2 KantorovichWasserstein distance functional over MP functions from (fl0,#0) to (Q1,#1).

VLSM - Volume 1 - Page 30, 31, 33

mt #(1--)=u1- (22) It is shown in [3] that this infimum is attained for some am," and z;,,,,~,,, and that it is equal to the L2 KantorovichWasserstein distance between no and ,u1. Further, the flow X = X(:c.t) corresponding to the minimizing velocity ...

Jürgen Herzog, Gaetana Restuccia - 2001

As mentioned, the special case of Theorem 6 for free commutative monoids is due to Suslin [8] (the case of a trivial monoid being the Bass-Vaserstein classical results on surjective KI stabilizations, see Ch. 5, §4 in [1] and [11]). In [4] we have

Ramanujan: Essays and Surveys - Page 224, 253

Bruce C. Berndt, Robert A. Rankin - 2001

R. Gar-el and L. Vaserstein, On the Diophantine equation a3 + b3 + c3 + d3 = 0, J. Number Thy. (to appear).

Codes On Euclidean Spheres - Page 533

T E O Ericson, Victor Zinoviev - 2001

Y.I. Lyubich and L.N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs, Geom. Dedic., Vol. 47, pp. 327-362, 1993. A.L. MacKay, The packing of three-dimensional spheres on the ...

Tsi-Yuen Lam - 2001

If we assume the result of Vaserstein in Ex. ( 1 .25), it will follow that left and right stable range 1 are equivalent properties. ... To show that it is not essential here to assume Vaserstein's result, we shall continue to work with the notion of left ...

Large deviations and idempotent probability - Page 74, 266, 472, 496, 497

Anatolii Puhalskii - Taylor & Francis, 2001 - 500 pages ISBN 1584881984, 9781584881988

Wasserstein

Eighth International Conference in Magdeburg, February/March 2000, Volume 1

Michael Fey, Heinrich Freistühler, International Conference on Hyperbolic Problems - Springer 2001 - 472 pages

Springer, 2002 ISBN 3764367091, 9783764367091

Wasserstein distance

Ch. A. Charalambides, Markos V. Koutras, N. Balakrishnan - 2001 - 624 pages

establishing asymptotic results is the Kolmogorov distance (instead of the Wasserstein or the total variation distance).

G. Kallianpur, Takeyuki Hida - 2001 - 410 pages ISBN0817641378, 9780817641375

Wasserstein metric

Stochastic processes: theory and methods - Page 102, 106

D. N. Shanbhag, Calyampudi Radhakrishna Rao - 2001 - 967 pages

Noncommutative Noetherian rings - Page 443 , 618 ; 413, 414, 577

John C. McConnell, James Christopher Robson, Lance W. Small - 2001 - 636 pages

8.5 (a) A good source for the topics in the first half of the section is [Suslin 81] where it is noted that 5.8(h) is due to Vaserstein, (b) The second half, concerning matrices, originates from [Vaserstein 71] where, in particular, 5.17 appears.

Universite de Paris VII publications mathematiques: Volume 92

Research in stochastic programming - Page 69, 70, 72

John R. Birge, N. C. P. Edirisinghe, W. T. Ziemba - 2001 - 306 pages

Wasserstein distance

Festschrift for Willem R. Van Zwet

Mathisca de Gunst, Chris Klaassen, A. W. van der Vaart - 2001 - 616 pages

Wasserstein distance

A. Granja, ‎J.A. Hermida Alonso, ‎A Verschoren - 2001

1 (1999) 178-184. II] A. A. Suslin, On the structure of the special linear group over polynomial rings, Math. USSR Izv. 11 (1977) 221-238. [12] L.N. Vaserstein and A. A. Suslin, Serre's Problem on Suslin's Stability Theorem for IV,,...,',,.) 209.

Handbook of the Geometry of Banach Spaces - Volume 1 - Page 916, 917, 938, 989

William B. Johnson, ‎Joram Lindenstrauss - 2001

... 793, 831 [50] Vaaler, J.D. 175, 194 [38] van Dulst, D. 515, 529 [50] van Mill, J, 603, 669 [I65] van Rooij, A.C,M. 91, 121[II8];121[119] Vanderwerff, J. 434 [36]; 828, 835 [I72] Varga, R. 555, 559 [41] Vargas, A. 222, 231 [44] Vaserstein, L. 916, ...

SIAM Journal on Control and Optimization - Page 144

Boris Borisovich Venkov, ‎Jacques Martinet - 2001

Symmetric squares and lattice minima. Preprint, Essen. [L-V] LYUBICH, Y. I. and L.N. VASSERSTEIN. Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata 47 (1993), 327-362.

2002   28 books

### Proceedings of the International Congress of Mathematicians:  Page 131 184 185

Beijing 2002, August 20-28, Volume 1

Higher Education Press, 2002

Wasserstein distance,

### Hyperbolic Problems: Theory, Numerics, Applications  - Page 179

Eighth International Conference in Magdeburg, February/March 2000, Volume 1

H Freist]hler, ‎Gerald Warnecke - 2002

We construct, in the framework of Electromagnetism, an Action which is analogous to the Monge-Kantorovich (or Wasser- stein) distance. From this Action, we derive a system of PDEs that look like non-linear Maxwell equations. Then, through ...

### FUSION - Page 152, 153, 155, … (5 pages)

Proceedings of the ... International Conference on Information Fusion, Volume 5 2002

Wasserstein distance

### Rigidity in Dynamics and Geometry:  -Page 482

Contributions from the Programme "Ergodic Theory, Geometric Rigidity and Number Theory" Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom 5 January - 7 July 2000

Marc Burger, ‎Alessandra Iozzi - 2002

1, 121-123. 32. L. N. Vaserstein, Groups having the property T, Funkcional. Anal, i Prilozen. 2 1968 no. 2 86. 33. R. J. Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics, 81, Birkhauser, Basel-Boston, Mass., 1984. 34.

### Classical Groups and Geometric Algebra - Page 154

Larry C. Grove - 2002

... Golubchik, and L. Vaserstein. See [31] or [33] for references. The proof relies on the K1 functor. Theorem 15.1. Suppose that n is greater than both 2 and the stable rank of R, and that H is a subgroup of GL(n, R) that is normalized by E(n, R).

### Invitations to Geometry and Topology - Page 25

Martin R. Bridson, ‎Simon Salamon - 2002

R.K. Dennis and L.N. Vaserstein: On a question of M. Newman on the number of commutators, J. Algebra 118 (1988), 150-161. 31. A.N. Dranishnikov and D. Repovs: Cohomological dimension with respect to perfect groups, Topology and its ...

### Process Algebra and Probabilistic Methods. Performance . - Page 62, 63

Holger Hermanns, ‎Roberto Segala - 2002

[CV] Conn, W., Vaserstein, L.N.: On sums of integral cubes. Pages 285-294 in The Rademacher legacy to mathematics (University Park, 1992), Contemp. Math. 166, AMS 1994. [Dl] Danilov, L.V.: The Diophantine equation x3 — y2 = k and ...

### Distant Mirrors: America as a Foreign Culture - Page 125

Philip R. DeVita, ‎James D. Armstrong - 2002 - ‎Snippet view - ‎More editions

When I advised Ph.D. and other students, I gave them problems that interested me, and we solved them together. The main pressure that students put upon teachers was to tell them something new. A vivid example was Leonid Vaserstein ...

### The National Faculty Directory - Volume 3 - Page 4992

2002

... VASERSTEIN Leonid N. Math. Penn St U, 228 Mcallister Bldg, University Park PA 16802-6401 Ph 814-865-4700

Partial Differential Equations: Mark Vishik's Seminar - Page 162

M. I. Vishik, M. S. Agranovič, M. Mikhail Aleksandrovich Shubin - 2002

KPS01] the author of this paper and his collaborators developed a coupling approach to study the systems under ... acting in the space of probability measures, given the Kantorovich(-Wasserstein) metric, defines a contraction of this space.

Handbook of Mathematical Fluid Dynamics - Volume 1 - Page 194, 279

S. Friedlander, D. Serre - 2002

For instance, if W stands for the Wasserstein distance (244), then solutions of (273) satisfy ∫ +∞1 W ( f(t),f S(t) ) dt = +∞. ... Quantum kinetic theory Very recently, Lu [328], Escobedo, and Mischler [210,211] have begun to apply the techniques ...

Bruce A. Magurn - 2002

The theorem (10.15) of Vaserstein. presented below, shows these are isomorphisms for n > sr(R). As with the surjective stability theorem of Bass, we only present a special case of Vaserstein "s theorem here. The general form of hoth theorems ...

Proceedings of the ... International Conference on Information Fusion, Volume 5

Conclusions In this paper we have borrowed the concept of Wasserstein distance from theoretical statistics to introduce what we believe is the first comprehensive L,type theory of distance metrics for ...

Carlos María Cuadras, Josep Fortiana, José A. Rodríguez-Lallena - 2002 - 244 pages

1996) that the square of the L2-Wasserstein distance between two probabilities is greater than or equal to the sum of the squares of the distances ... Tarpey, T. and B. Flury (1996), 'Self-Consistency: A Fundamental Concept in Statistics'. Statist.

Real analysis and probability - Page 425 , 438, 553

Richard M. Dudley - 2002 - 555 pages

Wasserstein distance

Catherine Huber-Carol - 2002 - 507 pages -

Wasserstein distance

Contemporary combinatorics - Page 29, 40, 42, 43, 49, 88

Béla Bollobás - 2002 - 301 pages

Springer, Lecture Notes in Mathematics, vol. 1117.

R. ARRATIA* How much dependence is there in the prime factorization of a random integer distributed uniformly from 1 to n? ... respect to total variation distance, considering only small components,

and with respect to a Wasserstein distance, considering ... of changes — insertions and deletions — needed to change the dependent system into an independent system. ...

A corollary of this construction is the first metric bound on the distance to the Poisson-Dirichlet in Billingsley's 1972 ...

Proceedings of the International Congress of Mathematicians:  - Volume 1 - Page 185

August 20-28, 2002, Beijing, Volume 1

Daqian Li - Higher Education Press, 2002 - 2439 pages -

a) It was pointed out by Otto, that the Wasserstein metric can be used to describe

, M. S. Agranovich, Mikhail Aleksandrovich Shubin - 2002 - 278 pages

Wasserstein

Numerical methods and stochastics: Volume 1999 - Page 56

T. J. Lyons, Thomas Stephenson Salisbury - 2002 - 121 pages

Wasserstein distance

'

Claude Greengard, Andrzej Ruszczyński - 2002 - 154 pages

Wasserstein dis-

Torgny Lindvall - 2002 - 272 pages

Vasershtein coupling

Lectures on probability theory and statistics:  - Page 307

Ecole d'Ete de Probabilites de Saint-Flour XXIX - 1999

Erwin Bolthausen, Edwin Arend Perkins, A. W. van der Vaart - 2002 - 466 pages

Lecture notes in mathematics, 1781 ISBN: 978-3-540-43736-9 (Print) 978-3-540-47944-4 (Online)

Statistical Publishing Company, 2002

Geometric Analysis and Nonlinear Partial Differential Equations - Page 483

Stefan Hildebrandt, Hermann Karcher - 2002

The Dobrushin approach is based on a comparison of these measures for different boundary conditions in the Kantorovich(- Ornstein-Rubinstein-Vasserstein) metric

Higher Franz-Reidemeister Torsion - Page 4

Kiyoshi Igusa - 2002

It is a theorem of Wagoner and Vasserstein best explained by Suslin [SusS1], [Sus82] that the higher Volodin A'-theory of R also gives the usual algebraic A'-theory groups of R as defined by Quillen.

Algebra - Page 846

Serge Lang - 2002

We give here a simplification of Suslin's proof b> Vaserstein, also using a previous result of Horrocks.

MR1878556   Lang, Serge Algebra. Revised third edition. Graduate Texts in Mathematics, 211. Springer-Verlag, New York, 2002. xvi+914 pp. ISBN: 0-387-95385-X 00A05 (15-02).  Lang19.djvu  8MB

Нерешенные вопросы теории групп: Коуровская тетрадь - Page 163

2002

## Nereshennye voprosy teorii grupp : Kourovskai͡a tetradʹ / [sostaviteli V.D. Mazurov, E.I. Khukhro]. 172 pages 15th edition

4.2, 4.5, 7.1, 7.3, 13.34, А: 1.24, 1-63, 1.82, 2.13, 2.15, 2.39, 3.9, 4.1, 4.3-5, 7.2, 7.2 Азаров Д. Н. А: 11.10 АлеевР. ... Е. А: 3.29 Васильев А.Ф. 14.28-29, 15.38-39, А: 11.21, 11.24, 12.7 Вассерштейн Л. Н. 14.15 Вдовин Е. П. 3.62, 15.40, ...

2003   38 items

### Revista Matemàtica Iberoamericana - Volume 19, Issue 3 - Page 975  (6 pages)

2003 - ‎Snippet view - ‎More editions

This identification is natural both because y/D(p) measures the rate of change of F(p\p0O) with respect to Wasserstein distance along the geodesic joining p to p^ [27] , and also because F(p\poo) is a convex function of arelength along such geodesies according to McCann's displacement convexity inequalities [25], [26, Remark 3.3] — the prerequisites for (1.10-1.11). The second known approach towards inequalities such as (1.9) is what we shall refer to as the "HWI method", because ...

Cooperative Control: Models, Applications and Algorithms - Page 238, 239, 240, 248,

by Butenko, Sergiy; Murphey, Robert; Pardalos, P. M 2003  ISBN: 978-1-4419-5241-7 (Print) 978-1-4757-3758-5 (Online)

# collected papers dedicated to the 80th birthday of academician Igorʹ Rostislavovich Shafarevich2003

Introduction to linear programming

by Vaserstein, Leonid Nison; Byrne, Christopher Cattelier 2003

Introduction to the Ergodic Theory of Chaotic Billiards

Nikolai Chernov, ‎Roberto Markarian - IMPA 2003

# Convergence towards equilibrium of Probabilistic Cellular Automata

WIAS Preprint No. 823, (2003)

On some particular examples of this PCA class, we verify that our assumption (A) is weaker than the Dobrushin-Vasershtein ergodicity condition. For some precise PCA, the exponential ergodicity' holds as soon as there is no phase transition.

An advanced surface-potential-based compact MOSFET model

by Chen, Ten-Lon

The Pennsylvania State University, 2003

The aggressive reduction of the power supply voltage implies that popular threshold-voltage-based approach to compact modeling is close to its limits and the...

Ph.D. committee member Vaserstein

The congruence subgroup problem : an elementary approach aimed at applications

by Sury, B 2003 xv, 301 p. ; 23 cm. ISBN 8185931380

Recent advances in group theory and low-dimensional topology

edited by Jung Rae Cho and Jens Mennicke. - Page 136, 140

Heldermann, 2003.

Handbook of the Geometry of Banach Spaces - Page 1846

William B. Johnson, ‎J. Lindenstrauss - 2003 - ‎Mathematics

... 1514 [115]; 1639, 1641–1643, 1646, 1647, 1649–1652, 1654–1658, ... N.Th. 1363, 1423 [95] Vašák, L. 1764, 1770, 1815 [325] Vaserstein, L. 916, 917, 938 ...

Oeuvres: Collected Papers - Volume 2 - Page 55, 715

Jean Pierre Serre - 2003

... plus ou moins complets ont été obtenus entre 1973 et 1975 par M. P. Murthy, M. Roitman, A. Suslin, R. Swan et L. N. Vaserstein. ... clos lOl.i Le cas d'un corps résiduel non algébriquement clos est traité dans la thèse de M. Hazewinkel.

Peut-être donnerai-je aussi la démonstration du théorème de Matthews- Vaserstein-Weisfeiler et Nori : si F est un sous-groupe Zariski dense de type fini de Sp2n(Q), son adhérence dans le groupe adélique H Sp2n(Qf) est ouverte, i.e. F a la ...

Topics in Optimal Transportation - Page 300, 368. 372 )39 pages)

Cédric Villani - 2003

differentiability of Wasserstein distance, 262 differential cost, 144 Dirichlet boundary condition, 127 Dirichlet form, 278, ... convexification trick, 51, 60 duality for c-concave functions, 33, 87 Kantorovich, 19 Legendre-Fenchel-Rockafellar, 24, 56, ...

Communications in Applied Analysis - Page 488

2003

THE MONGE-KANTOROVICH-WASSERSTEIN DISTANCE It is simply to verify that S)(/ilt Hi) :=(2.8) defines a distance on the set of probability measures on M. Analogously, reseating in (2.8) one could obtain a distance on the set of Radon ...

Medical Image Computing and Computer-Assisted Intervention - Page 279, 280

Randy E. Ellis, ‎Terry M. Peters - 2003

Hence, the KantorovichWasserstein metric may be thought of as the cost associated with transporting, via u, a distribution of material given by μ0.

Subgroup Growth - Page 392, 397, 441, 453

Alexander Lubotzky, Dan Segal - 2003

However, different versions of this important result have been proved in [Nori 1 987] , [Mathews, Vaserstein k, Weisfeiler 1984], [Weisfeiler 1984] and [Hrushovski & Pillay 1995], and we would like to illustrate three quite different ways of ...

Записки научных семинаров ПОМИ: - Volumes 304-307 - Page 224

W. van der Kallen, B. Magurn, and L. N. Vaserstein, Absolute stable rank and Witt cancellation for non-commutative rings. — Invent. Math. ... L. N. Vaserstein, Normal subgroups of orthogonal groups over commutative rings. — Amer. J. Math.

Seventh International Conference on P-Adic Funcional Analysis, June 17-21, 2002, University of Nijmegen, The Netherlands

Volume 319 of Contemporary mathematics - American Mathematical Society

Wilhelmus Hendricus Schikhof, C. Pérez García, Alain Escassut - 2003 ISBN0821833200, 9780821833209 422 pp

( abc)-Theorems for entire functions and polynomials In [34] and [37] Mason and Vaserstein considered the afec-problem for polynomials. In [26] P. C. Hu and C.-C. Yang gave a solution to the abc-problem in the set of p-adic entire functions in ...

J. C. Misra - 2003

... by W^A) and W(A) respectively. Moreover, the surjective map W^A) to W(A) is a group homomorphism. Keeping the above notation in mind, we state the following beautiful theorem of Vaserstein ([S-V], Theorem 5.2 (d)) which says that if dim ...

Mathematical Methods in Computer Vision - Page 69, 85

Peter J. Olver, Allen Tannenbaum - 2003

D. Fry, Shape Recognition Using Metrics on the Space of Shapes, Ph.D. Thesis, Harvard University, 1993. ... W. Gangbo and R. McCann, "Shape recognition via Wasserstein distance," Technical Report, School of Mathematics, Georgia ...

Ying Lü, Ji-Qian Fang - 2003

Use of the difference I begin the introduction of splitting rules with the use of Wasserstein metrics to measure the between-nodes distributional ...

T.Y. Lam - 2003

Ex. 1.2,'i. (Vaserstein) Let a, b, c be such that ab + c = 1 in a ring R. If there exists x C R such that a + ex C U(/?), show that there exists y € /? such that; 6 + T/c C

Solution. Write u = a + ex C U(/?). We claim that the element y : = (1 - 6x)u-1 works,

Introduction to linear programming

This book makes Linear Programming easily accessible to any reader, regardless of his or her mathematical background.

Logarithmic combinatorial structures: -- Page ix, 5, 67, 68, 185, 279, 359 (18 pages)

IBN3037190000, 9783037190005

Wasserstein distance

Logarithmic combinatorial structures: A probabilistic approach. (English)

EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS). xi, 363~p.  (2003). MSC2000: *60-02 05-02 05A05, Reviewer: Hsien-Kuei Hwang (Taipei)

Review in MR 2032426 (2004m:60004)

Wasserstein distances

Cédric Villani - 2003 - 370 pages

Kinderlehrer, D., and Walkington, N. J. Approximation of parabolic equations using the Wasserstein metric. M2AN Math. Model. Numer. Anal. 33, 4 (1999), 837–852.

Eberhard Bänsch - 2003 - 285 pages

Wasserstein

Mathematical aspects of evolving interfaces:  - Page 2, 5, 16, 28, 49

Lectures Given at the C.I.M.-C.I.M.E. Joint Euro-Summer School Held in Madeira, Funchal, Portugal, July 3-9, 2000, Issue 1812 (Google eBook)

Kantorovich-Wasserstein distance

Cavity and Mean Field Models, Volume 46

Michel Talagrand - 2003 - 586 pages ISBN3540003568, 9783540003564

Sergiy Butenko, Robert Murphey, Panos M. Pardalos - 2003 - 364 pages

The Mohammed Dahleh Symposium 2002

Laura Giarré, Bassam Bamieh, Mohammed A. Dahleh - 2003 - 229 pages

W. Gangbo and R. McGann, “Shape recognition via Wasserstein distance,” Technical Report, School of Mathematics, Georgia ...

Optimal transportation and applications:  - Page v, 44, 45, 59, 64, 65, 67, 68, 70, 71, 74, 80, 83, 88

Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 2-8, 2001, Issue 1813

Luigi Ambrosio, Luis A. Caffarelli, S. Salsa - 2003 - 171 pages Volume 1813 of Lecture Notes in Mathematics ISBN354040192X, 9783540401926

Wasserstein metric

Christian Miehe - 2003 - 478 pages

Wasserstein metric

Applications to Physics, Industry, Life Science and Economics : Eveq2000 Conference in Levico Terme (Trenton, Italy) October 30-November 4, 2000 (Google eBook)

Mimmo Iannelli, Günter Lumer - 2003 - 423 pages

Wasserstein distance

Stefan Hildebrandt, Hermann Karcher - 2003 - 673 pages -

Michael G. Akritas, Dimitris N. Politis - 2003 - 512 pages

theorems for the Wasserstein distance between the empirical and the true distributions,

Markus Kirkilionis - 2003 - 419 pages

The author uses the Wasserstein metric. He gets an evolution ...

RAIRO.: Modélisation mathématique et analyse numérique :  - Page 78, 79, 80, 686 (8 pages)

M2N.. Mathematical modelling and numerical analysis, Volume 37, Pages 1-556

One of these metrics is known as the Vasershtein distance [19,32]. ... The Vasershtein distance between n and v can be rewritten as the L2-distance of the

Handbook of Algebra - Volume 3 - Page 196, 540

Michiel Hazewinkel - 2003

L. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR-Sb. 8 (1969), 383–400. L. Vaserstein, The stable range of rings and the dimension of topological spaces, Funktsional. Anal. i Prilozhen. 5 (1971), 17–27 (in

2004   37 books

### Algebras, Rings and Modules - Volume 1

Michiel Hazewinkel, ‎Nadiya Gubareni, ‎V.V. Kirichenko - 2004

Orlicz centenary volume. Volume I, Plenary lectures :

proceedings of the conferences : The Wladyslaw Orlicz Centenary Conference and Function Spaces VII, Poznan, 20-25 July 2003 / editors of the volume: Zbigniew Ciesielski, Aleksander Pełczyński, Leszek Skrzypczak.2004

Séminaire Bourbaki: volume 2002/2003 : exposés 909-923 - Page 99, 124

by Société mathématique de France Astérisque, 2004

An introduction to internal stabilization of infinite-dimensional linear systems - Inria pdf -

vious results to infinite-dimensional linear systems (e.g. delay systems .... BIBO-stable causal digital filter, i.e. W+ is the algebra of ... filters [78]: • Let MDn be the ring of structural stable multidimensional linear systems, namely. MDn = {n/d | 0 = d, ...... [75] L. N. Vasershtein, “Stable range of rings and the dimension of topologi-.

Summer School on Mass Transportation Methods in Kinetic Theory and Hydrodynamics, September 4-9, 2000, Ponta Delgada, Azores, Portugal

Volume 353 of Contemporary mathematics - American Mathematical Society

Maria da Conceicao Vieira de Carvalho, ‎José-Francisco Rodrigues - 2004

P. Seppechere, Shape Optimization Solutions via Monge- Kantorovich, C.R.Acad.Sci. Paris ... Partial differential equations and Monge-Kantorovich mass transfer. ... [16] W. Gangbo, R.J. McCann, Shape recognition via Wasserstein distance.

Interacting Particle Systems - Page 486

Thomas M. Liggett - 2004

Vasershtein, L. N. 1969 Markov processes over denumerable products of spaces, describing ... When I wrote this book twenty years ago, it was 486 Bibliography.

Contractivity of Wasserstein-type distances:  - Page title

asymptotic profiles, equilibration rates and qualitative properties.

José A. Carrillo. Institucio Catalana de. Recerca i ...

Paris 2004

Stochastic analysis and related topics in Kyoto:  - Page 51

in honour of Kiyosi Itô

Kiyosi Itō, H. Kunita, Shinzō Watanabe - 2004

to Ito Calculus, hence also to the problems originating from Physics, quantum chemistry, large deviations, etc. ... Note that inf { J(0) : 0 € E(p, v)} is the square of Wasserstein metric dj{(p,v) with respect to the Cameron-Martin space H. Any ...

Markov processes and related fields - Volume 10 - Page 446

2004

The canonical choice for a d-sensitivity matrix is: C,j{f) = sup — , j<i, (4.11) and Cij(f) = 0 otherwise. Here || • ||d is the Vasserstein- Kantorovich- Rubin- o stein distance and ft ( • | £) is the restriction of each singleton measure to If d is the discrete ...

1 in terms of the law of the process Xt by introducing the Wasserstein distance Wk, k being a positive integer (see [1]). For k = 1, the Wasserstein distance W\ between two measures \i and v can be defined as the dual of the \.]\iP-norm: Wx{n,u) ...

Remark 3.3 (Convergence in the Wasserstein distance Wk, k > 1). We can state the result of Proposition 3. 1 in terms of the law of the process Xt by introducing the Wasserstein distance Wk, k being a positive integer (see [1]). For k = 1, the ...

Stochastic inequalities and applications - Page v, 33, 34, 278, 279 , 281, 283, 285, 287, 289, 293, 295

Evarist Giné, Christian Houdré, David Nualart - Springer, 2004 - 365 pages ISBN3764321970, 9783764321970

In the present paper we modify d(Fn, F) into a finite quantity for all F by an adaptation of the notion of trimming from statistics, and study the asymptotic distributions of these trimmed Wasserstein distances for appropriate classes of distribution ...

Partial Differential Equations and Inverse Problems:  - Page v, 144, 145, 147, 160, 161, 162, 163, 164, 170, 172, 186

Pan-american Advanced Studies Institute On Partial Differential Equations, Nonlinear Analysis And Inverse Problems, January 6-18, 2003, Santiago, Chil

Issue 362 of Contemporary Mathematics Series

Carlos Conca - American Mathematical Soc., 2004 - 410 pages ISBN0821834487, 9780821834480

More precisely, one can estimate the Wasserstein distance by computing directly the equation for the pseudo-inverse of the distribution function. This technique has been recently applied to general diffusion equations (see the review paper ...

From Markov chains to non-equilibrium particle systems - Page 8, 173, 223, 542, 578, 586, 595

- 2004 - 597 pages 2nd edition

Vallender, S. S.(1973), Calculation of the Wasserstein distance between probability distributions on line, Theory Prob.

Ansgar Jüngel - 2004 - 192 pages

Commun Math Phys 203: 667-706 [26] Vasershtein LN (1969) Markov processes on countable product space describing large systems of automata (in Russian).

Summer School On Mass Transportation Methods In Kinetic Theory And Hydrodynamics, September 4-9, 2000, Ponta Delgada, Azores, Portugal

Volume 353 of Contemporary Mathematics Series

Maria da Conceição Vieira de Carvalho, José-Francisco Rodrigues - American Mathematical Soc., 2004 - 109 pages ISBN0821832786, 9780821832783

Wasserstein distance, Wasserstein metric

Invited Talks from the ICIAM 2003 Congress

James M. Hill, Ross Moore - SIAM, 2004 - 413 pages ISBN0898715598, 9780898715590

... dissipative equations (porous medium equations, lubrication equations, limited flux diffusion equations, granular flow equations,...) were discovered to be gradient flows of some suitable functionals with respect to the Wasserstein distance.

A modern treatment of this problem was initiated by Kantorovich in 1942, based on a probabilistic approach to reduce it to an infinite dimensional linear program. ... and the related concept of Wasserstein distance, as referred, for instance,

in the recent book by Rachev and Riischendorf.

Numerical mathematics and advanced applications: proceedings of Enumath 2003  - Page 574, 577

Miloslav Feistauer - 2004 - 863 pages

Wasserstein distance

Pierluigi Colli, Claudio Verdi, Augusto Visintin - 2004 - 346 pages

Selected Papers of the International Conference on Operations Research (Or 2003) Heidelberg, September 3-5 2003 (Google eBook)

Dino Ahr, Roland Fahrion, Marcus Oswald - 2004 - 490 pages

Wasserstein metric

Proceedings of the First JAMS Conference, Discrete Geometric Analysis, December 12-20, 2002, Sendai, Japan (Google eBook)

Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada - 2004 - 258 pages

Wasse rstein distance

Dimacs Workshop, Unusual Applications of Number Theory, January 10-14, 2000, Dimacs Center (Google eBook)

Melvyn B. Nathanson - 2004 - 264 pages

Wasserstein

Young measures on topological spaces: with applications in control  theory and probability theory. (English) - Page vii, 77

Charles Castaing, Paul Raynaud de Fitte, Michel Valadier - 2004 - 320 pages

Young measures on topological spaces. With applications in control theory and probability theory. (English)

Mathematics and its Applications (Dordrecht) 571. Dordrecht: Kluwer Academic Publishers. xii, 320~p. (2004). MSC2000: *28-02 28A33 28C15, Reviewer: Riccardo De Arcangelis (Napoli)

Parametrized Lévy-Wasserstein distances

The space Lip^ef) can be ... 3.4. PARAMETRIZED LEVY-WASSERSTEIN DISTANCES 77.

Balakrishnan, Calyampudi Radhakrishna Rao - 2004 - 795 pages

Wasse rstein distances

Functional analysis and its applications:  - Page 46

Proceedings of the International Conference on Functional Analysis and Its Applications, Dedicated to the 110th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine, Issue 197

ladimir M. Kadet͡s͡, Wiesław Żelazko, Stefan Banach - Elsevier, 2004 - 326 pages ISBN0444513736, 9780444513731

Wasserstein distances

, Wolfgang Härdle, Yuichi Mori - 2004 - 1070 pages

Australian Research Counci   Centre of Excellence for Mathematics and Statistics of Complex Systems Anual Report 2004  pdf  - Page 48

IMPROVED RESULTS ON POISSON PROCESS APPROXIMATION IN JACKSON NETWORKS

Aihua Xia (Chief Investigator), Tim Brown (Australian National University) and Mark Fackrell (The University of Melbourne)

Rings and things and a fine array of twentieth century associative qlgebra - Page 136, 345, 346,  370, 436, 445, 447, 448

Carl Clifton Faith - 2004 - 475 pages

This answered a question of Handelman and Vasershtein, and the proof required a theorem of Vasershtein [71].

Mu-Fa Chen - 2004

When 7 is a distance, EX.y7(X«, Yt) is nothing but the Wasserstein metric W = W\ with respect to 7 of the distributions at time t.

Discrete Geometric Analysis:  - Page 147

The First JAMS Conference, Discrete Geometric Analysis, December 12-20, 2002, Sendai, Japan

Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada - 2004 ISBN0821833510, 9780821833513

Let (X,d) be a crystal lattice with the graph distance d. ... 2-Wasserstein distance.

Gakkōtosho, 2004

1.2 Gradient flow and Wasserstein distance The notion of gradient flow, or steepest descent, only has meaning when an appropriate metric is defined on the manifold. Consequently, a certain evolution problem can be given different gradient

Otto proves in [21] that dm is equivalent to the Wasserstein distance of order two defined on M. We recall the definition of the Wasserstein distance of order p > 1 as found in [19]. For this purpose we introduce P(ui,U2) := < nonnegative Borel ...

Dynamics and Randomness - Page 152, 193

Alejandro Maass, Servet Martínez, Jaime San Martín - 2004

We endow C^ with the uniform metric and P(C^) with the Vaserstein metric ( f i, v) = inf < / d(x, y) A l)R(dx, dy)\ R has marginals // and compatible with the topology of the weak convergence. Hence By Proposition 4.13, and (4.32) lim E (d (((T1, ...

Seminar of Mathematical Analysis: - Page 117

proceedings, Universities of Malaga and Seville (Spain), September 2003-June 2004

Genaro López Acedo, Rafael Villa Caro - 2004

Lyubich, L. Vaserstein, Isometric imbeddings between classical Ba- nach spaces, cubature formulas, and spherical designs, Geom. Dedic. , 47 (1993), 327-362. 16] V.D. Milman, A

Group Theory: Selected Problems - Page 30

B. Sury - 2004

ASIDE This proof is due to Vaserstein.

Geometric Aspects of Functional Analysis: Israel Seminar 2002-2003 - Page 192

Vitali D. Milman, Gideon Schechtman - 2004

I., Vaserstein, L.N.: Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata, 47, 327-362 (1993) [M] Milman, V.D.: A few observations on the connections between local theory and ...

Richard Guy - 2004

Barry Cipra, Science, 239(1988) 464; and James Glieck, New York Times, 88-04-17. Rachel Gar-el k. Leonid Vaserstein ...

Proceedings of the International Conference on Algebraic Groups and Arithmetic, Mumbai, 2001 - Page 30

S. G. Dani, Gopal Prasad, Tata Institute of Fundamental Research - 2004

Following the ideas of Bass, Milnor and Serre, L. Vaserstein proved this, by a case-by-case analysis, for most of the classical groups. In his first, and very important, paper [17] on the congruence subgroup problem, Raghunathan proved the ...

2004

and only if R/JCR) satisfies stable range one (see Vaserstein [7]) . Thus a ring R is u- nit semiregular if and only if R is a weakly unit-regular ring and idempotents can be lifted modulo J(i?) . The following lemma dues to [3, Lemma 3.

2005   40  items

### New Trends In Mathematical Physics:     (11 pages)

: In Honour Of The Salvatore Rionero 70th Birthday - Proceedings Of The International Meeting

Fergola Paolo, ‎Capone Florinda, ‎Gentile Maurizio - 2005 - ‎Preview

Recalling now that [F-4 (U), GT" (U)) has joint distribution function H" ", we conclude that the Wasserstein distance between F and G can be rewritten as the L*-distance of the pseudo inverse functions 1/2 d2(F,G)= (so to -Gora) - (10) The previous result can be generalized to any convex cost instead of the quadratic cost as pointed out in *. Therefore, do(F,G)” = Tr(F,G) for any 1 < p < oo. Moreover, Wassertein distances T}/* form an increasing sequence in p by Hölder inequality and thus ...

### Sūgaku Expositions - Volume 18 - Page 98

2005

M. Gelbrich and S. T. Rachev : Discretization for Stochastic Differential Equations, Lp Wasserstein Metrics, and Econometrical Models. ... K. Ito and H. P. McKean : Diffusion Processes and Their Sample Paths, Springer- Verlag, Berlin, 1974.

### BIRS Proceedings 2005 - Banff International Research Station

M. Lyubich has spoken on a new progress on this front in his recent joint ...... a few evolutionary highlights of algebraic topology/homotopy theory, and ...... is the convergence of ρnum to ρ under an appropriate norm (e.g., Wasserstein norm).

Надгруппы классических групп

Петров, Виктор Александрович — 01.01.06 — Санкт-Петербург, 2005

... в смысле определения Бака они были доказаны Васерштейном и Ю Хонгом [55], Баком и Вавиловым [31]. Новое доказательство структурных ... ... Ep(2l,R) j j Алгебра и Анализ. — 2003. — т. 15. — по. 4. — с. 72-114.

11. Васерштейн Л.Н. Стабильный ранг колец и размерность ... приложения. — 1971. — т. 5.- с. 102-110.

12. Васерштейн J1.H. О стабилизации для ^-функтора Милнора ...

Elliptic and parabolic problems: a special tribute to the work of Haim Brezis - Page 405, 437, 438, 402, … (8 pages)

by Brézis, H; Bandle, Catherine 2005

Eigenvalues, inequalities, and ergodic theory -  Page 23 28 ,  35, … (10 pages)

by Chen, Mufa Springer 2005  238 pages  Full Text Online

### Lectures on Probability Theory and Statistics: . - Page 211

Ecole D'Eté de Probabilités de Saint-Flour XXXIII - 2003

Volume 33 of Ecole d'Eté de Probabilités de Saint-Flour, ISSN 0721-5363

Issue 1869 of Lecture Notes in Mathematics / École d'Été de Probabilités de Saint-Flour

Lecture notes in mathematics (Springer-Verlag) ; 1869

Lectures on probability theory : Ecole d'été de probabilités de Saint-Flour

Amir Dembo, ‎Tadahisa Funaki, ‎Jean Picard - Springer Science & Business Media, 2005

ISBN 3540260692, 9783540260691

... Xr,r > 0, defined by Pt(dndfj) :=^J P({7h(b),fjt(by,be (Zd)*} C drjdfj) dt . The first marginal of Pf is mv and the second one is /xv. Thus (9.7) implies that the Vaserstein distance between fi*7 and /xv vanishes and hence /xv = /iv, see, e.g., [109], p.

### Dong bei shu xue - Volume 21 - Page 356

2005

As we know, Goldbacb's conjecture is discussed over the ring Z, and it is a very hard problem. But if one changes the point of view and considers the similar problem in matrix rings, then things might go smoothly. For example, in [1], Vaserstein ...

### Recent Advances in Operator Theory, Operator Algebras, andTheir Applications: - Page 319

XIXth International Conference on Operator Theory, Timisoara (Romania), 2002

Volume 153 of Operator Theory: Advances and Applications

Dumitru Gaspar - Springer Science & Business Media, 2005

Math. 291 (1977), 128-132. [2] J. Anderson, L.N. Vaserstein, Commutators in Ideals of Trace Class Operators. Indiana University Mathematics Journal 35 (2) (1986), 345-372. [3] J. Anderson, Commutators in Ideals of Trace Class Operators.

### Fourier Analysis in Convex Geometry - Page 167

ssue 116 of Mathematical surveys and monographs, ISSN 0076-5376

Alexander Koldobsky - AMS 2005

Math. Soc. 356 (2004), 4359-4370. [LYZ4] E. Lutwak, D. Yang and Gaoyong Zhang, Volume inequalities for subspaces of Lp, J. Diff. Geom., to appear. [LV] Y. Lyubich and L. Vaserstein, Isometric embeddings between classical Banach spaces, ...

### The Europa world of learning - Page 2463

Driss Fatih, ‎[Anonymus AC04823960] - 2005

... A. Katok, S. Lallement, G. J. Levi, M. Li, W.-C. Mullen, G. L. Nistor, V. Nouri, M. OCNEANU, A. Pesin, Y. B. Roe, J. Simpson, S. Swiatek, G. Vaserstein, L. Vaughan, R. Ware, R. P. Waterhouse, W. C. Xu, J. Zarhin, Y. Zheng, Y. Physics: Banavar, ...

### Quantile Regression - 2 pages

Roger Koenker - 2005

The latter L 2 form of the test is closely related to Wasserstein distance; see, for example the discussion by Shorack and Wellner (1986) in their Section 2.6. Aswe have seenin Chapter 2,thequantile treatmenteffect in the twosamplemodel, ...

American Men & Women of Science

2005 (also 2007, 2010)  Vaserstein

MICCAI 2005: - Page 153

James Duncan, ‎Guido Gerig - 2005

In the present work, the pure L2 Kantorovich-Wasserstein functional is proposed as the similarity measure. A modified energy functional penalizing the intensity change can also be implemented [12]. Other types of distance measures, e.g. ...

Acta Academiae Aboensis: Mathematica et physica - Page 7, 18, 27

2005

A commonly used metric in the theory of iterated function systems is the so-called Wasserstein metric (Hutchinson metric, Kantorovich ... Definition 3 Define the generalized Wasserstein distance dw,a, 0 < a § 1 by dW',n(/1'1”) =52? fdll—/fd,\] ...

Proceedings of the Twentieth National Conference on Artificial Intelligence and the Seventeenth Innovative Applications of Artificial Intelligence Conference - Page 934, 935

2005

Instead, we measure the difference in the spatial distributions of region projections using a higher dimensional metric, the Kantorovich-Wasserstein distance dw- Consider the reverse projections for two regions in SA: "<0 = "„,,,(•*») and tf(r,) ...

New Trends in Mathematical Physics : In Honour of the Salvatore Rionero 70th Birthday Proceedings of the International Meeting Naples, Italy 24 - 25 January 2003

(2005, Hardcover) World Scientific Publishing Company, Incorporated ISBN-10: 9812560777 | ISBN-13: 9789812560773

J.A. Carrillo, G. Toscani, Wasserstein metric and large--time asymptotics of nonlinear diffusion equations, New Trends in Mathematical Physics, (In Honour of the Salvatore Rionero 70th Birthday), 234-244, 2005.

Gradient Flows: In Metric Spaces and in the Space of Probability Measures - Page 1, 15, 18, 155, 160, 168 (36 pages)

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré - 2005

V.Bogachev kindly pointed out to us that the correct spelling of the name Wasserstein should be “Vasershtein” [124] and that the attribution to Kantorovich and Rubinstein is much more correct. We kept the attribution to Wassertein and the

Gradient flows in metric spaces and in the space of probability measures. (English)

Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 333~p. EUR~34.24 (2005). MSC2000: *35-02 49-02 49J40, Reviewer: Giuseppe Buttazzo (Pisa)

Operator Algebras: Theory of C*-Algebras and von Neumann Algebras - Volume 13 - Page 501

Birkhauser Verlag, Basel, 2002. [Vas69] L. N. Vaserstein. On the stabilization of the general linear group over a ring. Math. USSR-Sb., 8:383-400, 1969. [vD82] Alfons van Daele. Celebration of Tomita's theorem. In Operator References 501.

Joint International Meeting of the American Mathematical Society and the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry, Bangalore, India, December 17-20, 2003

Vaserstein, LN..; Suslin, A.; Serre's problem on projective modules over polynomial rings, and algebraic A'-theory.

L.N. Vaserstein also gave an alternative approach to the Local-Global analysis by a ...

In a letter to H. Bass, L.N. Vaserstein also gave an alternative approach to the Local-Global analysis by a method of adding an extra variable to handle the inverted element. The reader can find his elegant treatment in the book [32] of T.Y. Lam ...

Steven George Krantz - 2005

One need only imagine the three of them, often fully clothed, laid out side by side. j/Wathematician Leonid Vaserstein ... One day there was a seminar being given by a mathematician who had heard nothing of Vaserstein's emigration; but the ...

[Correction to p.211:  My "first parking  place"n was U of Chicago, not U of Maryland. The story  like described by Kranz did happened  many times at Penn State and other places.]

Current trends in potential theory: - Page 60

conference proceedings, Bucharest (Romania), September 2002 and 2003

Dominique Bakry - 2005

measurable pseudometric, ... We also mention the deep study [10] of the L2 -Wasserstein metric on abstract Wiener spaces related to transportation ...

Kinetic methods for nonconservative and reacting systems - Page 169, 225, 234

Gíuseppe Toscani - 2005

The decay of Wasserstein metric for 7 > 0 We will start the analysis of ...

Eigenvalues, inequalities, and ergodic theory - Page 23, 28, 35, 171 , 215, 220, 221, 222

Mufa Chen - Springer 2005 - 228 pages ISBN1852338687, 9781852338688

Wasserstein distance

Michel Denuit - 2005 - 440 pages

9.6  Wasserstein distance

Haim Brézis, Catherine Bandle - 2005 - 470 pages

RN) as follows: for any number p > 0 we define the Wasserstein distance dp between two probability measures Mi, ^ by the ...

Edward C. Waymire, Jinqiao Duan - 2005 - 262 pages

Jean-Dominique Deuschel, Andreas Greven - 2005 - 450 pages

The space P(M) will always be equipped with the Lθ-Wasserstein distance. . Full Text Online

Seminaire de Probabilites: Volume 38 - Page 320, 322, 324, 333

M Emery, Michel Ledoux, Marc Yor - 2005 - 392 pages

Wasserstein distance

A. D. Barbour, Louis Hsiao Yun Chen - 2005 - 225 pages

However, no "magic factors" as good as those in Theorem 2.3 are known. If the total variation distance is replaced by the Wasserstein ^-metric ...

... being of order 0(1) (Arratia, Goldstein & Gordon 1989; Barbour, Hoist & Janson 1992, p. 203). With respect to a more natural Wasserstein distance between point processes, uniform bounds of order 0(X~1cx) for the second differences can ...

Séminaire sur les équations aux dérivées partielles - Page VE-17

la fonctionnelle H de Boltzmann : H(fi) = / / log / dvol, où f est la densité de H par rapport au volume ; - la distance de Wasserstein quadratique : W^^i, u) = \/C^JJi^

Giannessi, A. Maugeri - 2005 - 1184 pages

Kinderlehrer, D. and Walkington, N. (1999) Approximation of parabolic equations based upon Wasserstein's variational ...

, W. T. Ziemba - 2005 - 709 pages

Philpott, Henderson, and Teirney [13] discuss an alternative approach based on Vasershtein coupling (see [10]), but this is shown to produce unrealistic weather

Applied combinatorics on words: Volume 105 - Page 351, 352

M. Lothaire - 2005 - 610 pages

Wasserstein distance

Friedrich Ischebeck, Ravi A. Rao - Springer 2005 - 336 pages ISBN3540230327, 9783540230328

4.5 Vaserstein's Proof of Serre's Conjecture Quillen's proof of Serre's conjecture does not use the fact that projective ... But using this fact and Quillen's ideas, one obtains a remarkably short proof of Serre's conjecture, as L.N. Vaserstein wrote ...

4.5 Vaserstein's Proof of Serre's Conjecture Quillen's proof of Serre's conjecture does not use the fact that projective ... But using this fact and Quillen's ideas, one obtains a remarkably short proof of Serre's conjecture, as L.N. Vaserstein wrote ...

Anastasios Mallios - 2005 - 293 pages

Remark] as well as L.V. Vaserstein [1]) can be applied instead, all these spaces having the desired property (viz. the Serre-Swan theorem is in force) as before.

V.Bogachev kindly pointed out to us that the correct spelling of the name Wasserstein should be “Vasershtein” [124] and that the attribution to Kantorovich and Rubinstein is much more correct. We kept the attribution to Wassertein and the

Gradient flows in metric spaces and in the space of probability measures. (English)

Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 333~p. EUR~34.24 (2005). MSC2000: *35-02 49-02 49J40, Reviewer: Giuseppe Buttazzo (Pisa)

Wasserstein metric

- Page title

[PDF] from psu.eduF Otto… - 2005 - Citeseer

Abstract. We consider the porous medium equation on a compact Riemannian manifold and

give a new proof of the contraction of its semigroup in the Wasserstein distance. This proof is

based on the insight that the porous medium equation does not increase the size of ...

Methods and applications of analysis - Volume 12 - Page 203

Project Euclid - 2005

This sequence converges weakly, because our distance functional is stronger than the Kantorovich-Waserstein metric which induces the topology of weak convergence on spaces of measures. Therefore, fi„ — UNIQUENESS FOR THE ...

2006  54 books

### The Sato-Tate conjecture - International Press of Boston   pdf

by L Clozel - ‎Cited by 8 - ‎Related articles

Introduction. In April 2006, Richard Taylor has completed the proof of the Sato-. Tate conjecture for elliptic curves over totally real fields, under a mild assumption (see below). This is the completion of a project started sev- eral years ago by Taylor and Michael Harris, aiming at developing the higher-dimensional automorphic ...

Vaserstein

### ICM 2006 Short Communications Abstracts Section 03

ICM 2006. Short Communications. Abstracts. Section 03. Number Theory ... [3] Von Koch, H., Sur la distribution des nombres premiers, Acta Math. 24, 159–. 182 (1901). ICM 2006 – Madrid, 22-30 August 2006. 1 ..... 4 (1933), 52–63. [2] L. N. Vaserstein, Sums of cubes in polynomial rings, Math. Comp. 56

### Group Theory: Beijing 1984.   (8 pages)

Proceedings of an International Symposium Held in Beijing, August 27 - September 8, 1984

Volume 1185 of Lecture Notes in Mathematics

Hsio-Fu Tuan - 2006 - ‎Preview - ‎More editions

L. Vaserstein, Classical groups over rings, in Canadian Mathematical Society Conference Proceedings, Volume 1 (T3 - L. Vaserstein and A. Suslin, Serre's problem on projective modules over polynomial rings and algebraic K-theory, Math. USSR Izves – tija, Vol. 10 (1976), No. 5, 937–1001. A. Wadsworth, Merkurjev 's elementary proof of Merkurjev 's theorem, Boulder Conference in Algebraic K-theory, to appear . C.T. C. Wall, Surgery on Compact Manifolds, Academic Press, 1970.

### Dictionary of Distances (5 pages)

Michel-Marie Deza, ‎Elena Deza - 2006 - ‎Preview - ‎More editions

This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data.

### JASA - Volume 101 - Page 846

2006

In 1II.4 asymptotic distributions of trimmed Wasserstein distances between the true and the empirical distribution ... that a more appropriate title would be The Asymptotic Theory for the Statistical Inference of Ergodic Diffusion Processes. I agree ...

# Cours de l'école d'été du CIMPA-UNESCO de l'Université de Valdivia

Alejandro Maass, ‎Salomé Martínez, ‎Élisabeth Pécou - 2006

Diffusion-mediated transport and the flashing ratchet, Arch. Rat. Mech. Anal. 161, pp. 149-179 (2002). [23] D. Kinderlehrer and N. Walkington. Approximation of parabolic equations based upon Wasserstein's variational principle, Math. Model.

### Additive and Cancellative Interacting Particle Systems - Page 106 (6 pages)

D. Griffeath - 2006

L. N. Vasershtein (1969). Markov processes over denumerable products of spaces, describing large systems of automata, Problemy Peredachi Informatsii 5 (3), 64-73. L. N. Vasershtein and A. M. Leontovich (1970). Invariant measures of ...

### [PDF] Flat multidimensional linear systems with constant coefficients are equivalent to controllable 1-D linear systems

A Fabianska, A Quadrat - Proceedings of MTNS, 2006 - wwwb.math.rwth-aachen.de

Abstract—Based on constructive proofs of the Quillen-Suslin theorem, the purpose of this

paper is to show that every flat multidimensional linear system with constant coefficients is

equivalent to a controllable 1-D linear system. This result looks like the classical result in

Vaserˇstein,

Scientia Magna, Vol. 1, No. 2, 2005: international book series

Zhang Wenpeng, ‎W. B. Vasantha Kandasamy - 2006

[8] L.N.Vaserstein, Quantum (abc)-Theorems, Journal of Number Theory, 81(2000), 351- 358. [9] H.N.Shapiro and G.H.Sparer, Extention of a Theorem of Mason, Comm. Pure and Appl. Math., 47(1994), 711-718. [10] M.Bayat and H.Teimoori, ...

Подгруппы гиперболических унитарных групп

Дыбкова, Елизавета Владимировна — 01.01.06 — Санкт-Петербург, 2006

... время, ссылаясь на статью Титса, московские математики Jl. Н. Васерштейн, А. В. Михалев и И. С. Клейн опубликовали несколько работ об ортогональной ... ... Ер(2/, К). — Алгебра и анализ, 15:4 (2003), 72-114.

27. Л. Н. Васерштейн, Стабилизация для классических групп ... . — Ма-тем. сб., 93:2 (1974), 268-295.

28. Л. Н. Васерштейн, А. В. Михалев, О нормальных подгруппах ортогональной ...

Некоторые вопросы теории групп Шевалле над полями и конечными кольцами

Колесников, Сергей Геннадьевич — 01.01.06 — Красноярск, 2006

... (О'Мира, Ю.И. Мерзляков, A.B. Михалёв, В.М. Петечук, И.З. Голубчик, Е.И. Зельманов, JI.H. Васерштейн, Е. Абэ и др.).

В группе Шевалле Ф(К), ассоциированной с системой корней ...

Lecture Notes in Computer Science: Algorithmic Number Theory : Page 83

7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006.

Vaserstein

### Current Developments in Mathematics - Page 19, 33

David Jerison, ‎Barry Mazur, ‎Tomasz Mrowka - 2006

[8] P. Deligne, J.S. Milne, A. Ogus, K-y. Shih, Hodge cycles, motives, and Shimura varieties, ... [20] C.R. Matthews, L.N. Vaserstein, B. Wesfeiler, Congruence properties of Zariski dense subgroups I, Proc. London Math. Soc. 48 (1984) 514-532.

Encyclopedia of Statistical Sciences - Volume 7 - Page 4462

2006

In the special case where k = l, Pr(F,G) = ^jf 1 \F~Ht) - G-Ht)\rdt^J [6,5], also known as the Wasserstein distance between F and G. For random X and Y having marginals F and G, respectively, we define pr(X,Y) = pr(F,G). Thus, Mallows' distance ...

Encyclopedia of mathematical physics - Volume 3 - Page 204, 636

Jean-Pierre Françoise, ‎Gregory L. Naber, ‎Sheung Tsun Tsou - 2006

The Wasserstein Distance Optimal transportation theory is strongly related to the geometric analysis of probability measures. For simplicity, let us just consider the space Prob(B) of all Borel probability measures p supported by some fixed ball ...

Infinite Groups: Geometric, Combinatorial and Dynamical Aspects - Page 265

Laurent Bartholdi, ‎Tullio Ceccherini-Silberstein, ‎Tatiana Smirnova-Nagnibeda - 2006

Laurent Bartholdi, Tullio Ceccherini-Silberstein, Tatiana ... Y.I. Lyubich and L.N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature ...

Pei-Chu Hu, ‎Chung-Chun Yang - 2006 - ‎Mathematics

Vaserstein, L.N., Quantum (abc)-theorems, Journal of Number Theory 81 (2000), 351–358. Vitter, A., The lemma of the logarithmic derivative in several complex ...

Recent Trends in Partial Differential Equations: - Page 17, 19, 31

UIMP-RSME Santaló Summer School, July 12-16, 2004 Universidad Internacional Menéndez Pelayo, Santander, Spain

Juan Luis Vazquez, ‎Xavier Cabré, ‎José Antonio Carrillo - 2006

Optimal transport and Wasserstein distance

Mufa Chen - 2006

Uniqueness of Gibbs states and the L2-convergence of infinite-dimensional reflecting diffusion processes. Sci. Sin. Ser (A) ... On order preservation for couplings of multidimensional diffusion processes. Chinese J. ... L. N. Wasserstein. Markov ...

Ischia Group Theory 2004: Proceedings of a Conference in Honor of Marcel Herzog, March 31-April 3, 2004, Naples, Italy - Page 209

Israel mathematical conference proceedings, ISSN 0792-4119EditorsZvi Arad, Marcel HerzogEditionillustrated Publisher American Mathematical Soc., 2006 ISBN0821887033, 9780821887035   263 pages

Proofs using Coupling Techniques A. Coupling Lemma For each fixed x, y € X, let ps(-|x, y) be an optimal coupling of the update rules pg( |x) and ps(-|y) that achieves the Wasserstein distance W(pB(-|x),pB(-|y))- We call the family {ps( |x,y)} the ...

Problems on Mapping Class Groups and Related Topics - Page 36

Benson Farb - 2006

... useful ingredient is a theorem of Grunewald-Mennike-Vaserstein [GMV] which gives free quotients of arbitrarily high rank for the group SL2(Z[i]) and the group SL2(A'[s,i]), where K is an arbitrary finite field. Since we know for g > 3 that Ig is ...

Tutorials in Operations Research: Models, Methods, and Applications for Innovative Decision Making

I N F O R M S: Institute for Operations Research & the Management Sciences, Michael P. Johnson, Bryan Norman - 2006

... for Innovative Decision Making I N F O R M S: Institute for Operations Research & the Management Sciences, Bryan Norman Michael P. Johnson ... Wasserstein (Kantorovich) Metric Suppose Q is a metric space with metric d. dw(P,P) = sup< ...

ISBN1877640204, 9781877640209

Encyclopedia of Actuarial Science

Hermann Thorisson Published Online: 15 SEP 2006 Coupling - Wiley Online Library

Compstat 2006 - Proceedings in Computational Statistics

17th Symposium Held in Rome, Italy, 2006   Alfredo Rizzi, Maurizio Vichi   ISBN: 978-3-7908-1708-9

Chapter Dynamic clustering of histograms using Wasserstein metric IRPINO A, VERDE R, LECHEVALLIER Y

Dependence in Probability and Statistics - Page 156

Patrice Bertail, Paul Doukhan, Philippe Soulier - 2006

Academic Press, Harcourt Brace Jovanovich Publishers, New York, 1980. Probability and Mathematical Statistics. ...

The Wasserstein distance and approximation theorems. Zeitschrift für Wahrscheinligkeits Theorie und Verwandte Gebiete, ...

Advances in Database Technology -- EDBT 2006:  - Page 866

10 International Conference on Extending Database Technology, Munich, Germany, 26-31 March 2006, Proceedings (Google eBook)

Yannis Ioannidis, Marc H. Scholl, Joachim W. Schmidt - 2006  ISBN3540329609, 9783540329602

Earlier works (e.g., [6,7]) call it the match distance, and statistics literature uses Mallows or Wasserstein ...

Quantum probability - Page 199, 206

Marek Bożejko, Wojciech Młotkowski, Janusz Wysoczański - 2006

and the Wasserstein distance are useful distances between measures. .

Ph. Biane and D. Voiculescu, A free probabilistic analogue of the Wasserstein metric on the trace-state space, Geom.

John Clark - 2006 , 2008

by Clark, John; Lomp, Christian; Vanaja, Narayanaswami

Some of the basic properties of stable range 1 appear first in [35], in Vaserstein's [350], [351], and in notes by Kaplansky [187].

The proof of the symmetry of the condition in 15.4 is taken from Goodearl's [129] and, as he says, is adapted from ...

T.Y. Lam - 2006

Our exposition of Vaserstein's elementary proof follows the lecture notes of Ferrand's Bourbaki talk [Ferrand: 1976]. ... In the literature, this proof of Serre's Conjecture has sometimes been fondly referred to as "Vaserstein's 8-line proof" (see, ...

Topics on Concentration Phenomena and Problems with Multiple Scales - Page 291

Andrea Braides, Valeria ChiadÚ Piat - 2006

Ambrosio, L.; Gigli, N.; Savare, G. Gradient flows in metric spaces and in the Wasserstein spaces of probability measures, Birkhaüser, 2005. 2. ... X. Generation and propagation of interfaces for reaction-diffusion equations, J. Diff. Eq. 96 ...

Analysis, Modeling and Simulation of Multiscale Problems - Page 361

Alexander Mielke - 2006

Semiconductor simulations using a coupled quantum drift-diffusion Schrödinger-Poisson model. SIAM J. Appl. Math. ... A fourth-order nonlinear PDE as gradient flow of the Fisher information in Wasserstein spaces. In preparation, 2006.

Diffusion, quantum theory, and radically elementary mathematics - Page 243

William G. Faris - 2006

... 28 optimal, 141-154 Trotter product formula, 76, 85 twelve-tone row, 215 ultracontractive, 59 variance, 36 Wasserstein distance, 144 Wasserstein space, 149 wave function, 6, 1 1 8 Wick power, 20, 26, 39, 82 Wick product,

DCDS-B - Volume 6, Pages 1-649 - Page 311

Weak topology implicit schemes based on Monge-Kantorovich or Wasserstein metrics have become prominent for their ability to solve a variety of diffusion and diffusion-like equations. They are very flexible, encompassing a

Functional Inequalities Markov Semigroups and Spectral Theory - Page 292, 293, 299, 332, 336, 377

Fengyu Wang - 2006

... inf dn, 1( ) 7r€(€(/H/) EXEP which is well-known in probability theory as the L1-Wasserstein distance between /.7 and 1/. ... In the smooth case the Dirichlet form of the diffusion process generated by div(AV) + AVV,

Groups, Rings And Group Rings - Page 136

L.N. Vaserstein, The structure of classic arithmetic groups of rank greater than One, Math. USSR Sbornik 20 (1973),

Markov processes and related fields: Volume 12 Polymat, 2006

Simulation - Page 85 , 677, 678

Handbooks in Operations Research And Management Science:

Shane G. Henderson, Barry L. Nelson - 2006 - 678 pages

Wasserstein metric

Recent trends in partial differential equations:  - Page  vii, 1,2, 11, 16,  17, 18, 19, 21, 23, 24, 25, 27, 28, 29, 31, 32

UIMP-RSME Santaló Summer School, July 12-16, 2004 Universidad Internacional Menéndez Pelayo, Santander, Spain

Juan Luis Vázquez ISBN0821838911, 9780821838914

The Wasserstein distance arises as a powerful tool to analyze the asymptotic behaviour of solutions of PDE's of diffusion type, to obtain new general proofs of geometric and functional inequalities and to characterize solutions of shape ...

Nonsmooth mechanics and analysis: theoretical and numerical advances - Page 14 , 16, 18, 19, 20, 320

Alart, O. Maisonneuve, R. Tyrrell Rockafellar - 2006 - 320 pages

Wasserstein distance

Michael J. P. Cullen - Imperial College Press, 2006 - 259 pages ISBN186094518X, 9781860945182

Ching-Zong Wei, Hwai-Chung Ho, Ching-Kang Ing - 2006 - 294 pages

To measure the error of approximation, we use Wasserstein pseudo-metric which has the advantage of allowing us to lift the carrier space to a bigger carrier space. Of course, other metrics such as the total variation distance can also be ...

Dictionary of distances - Page 29, 98, 188, 267, 384, 391

M. Deza  Elena Deza, - 2006 - 391 pages

he state space of any unital C *-algebra) of the Kantorovich— Mallows—Monge—Wasserstein metric defined as the Lipschitz ... Let the commutator [D, f] for f G A be the Clifford multiplication by the gradient V f so that its operator norm ||.

Gianni Dal Maso, Antonio DeSimone, Franco Tomarelli - 2006 - 159 pages

... path functionals over Wasserstein spaces, variational approaches to quasi-

… systems Giuseppe Buttazzo (UniversitadiPisa) Path functionals over

Wasserstein spaces Antonin Chambolle

Data science and classification - Page  , 183, 189, 191, 355

International Federation of Classification Societies. Conference, Vladimir Batagelj - Springer 2006 - 358 pages ISBN3540344160, 9783540344162

Wasserstein based

17th Symposium Held in Rome, Italy, 2006

lfredo Rizzi, Maurizio Vichi - 2006 - 537 pages

Wasserstein metric

Peter Topping - 2006 - 113 pages

Wasserstein metric

Giuseppe Da Prato, Luciano Tubaro - 2006 - 347 pages

In Section 12.5, the results from previous sections are applied to stochastic reaction- diffusion equations. ... norm intermediate between the total variation metric and Wasserstein metric has been obtained for stochastic Navier–Stokes equation.

Handbook of differential equations: evolutionary equations - Page v, 1, 4, 5, 6, 7, 8, 13, 14, 29, 30, 38, 40, 45, 46, 52, 55, 58, 80, 81, 104, 105, 106, 107, 109, 113, 115, 116, 117, 120, 122, 123, 131, 134, 135, 136, 634, 638

Constantine M. Dafermos, Eduard Feireisl - Elsevier, 2006 - 652 pages  ISBN0444528482, 9780444528483

J.A. Carrillo, R.J. McCann and C. Villani, Contractions in the 2-Wasserstein space and thermalization of granular media, Arch. Ration. Mech. Anal. (2006).

In this way we recover in a more general framework the Riemannian interpretation of the Wasserstein distance developed by Otto in [74] (see also [57,73]) and used to study the long time behavior of the porous medium equation. In the original ...

Journal de mathématiques pures et appliquées

Joseph LiouvilleGauthier-Villars, 2006

Wasserstein

DCDS-B: Volume 6, Pages 1-649   - Page 311, 313, 325

Wasserstein metric, Wasserstein space

44th Annual Allerton Conference on Communication, Control, and Computing 2006

Proceedings: Volume 44, Part 2 - Page 913, 915, 917

Wasserstein coupling

3rd SUMMER SCHOOL ON ''METHODS AND MODELS OF KINETIC THEORY'' (M&MKT 2006)

Porto Ercole (Grosseto, Italy) June 4-10, 2006

Large time asymptotics for nonlinear diffusion and kinetic equations       José A. Carrillo

The main goal of this course is to give an overview of the recent ideas of contractivity of Wasserstein and Fourier-type distances applied to the asymptotic behavior of nonlinear diffusion, scalar conservation laws and granular flow models based on kinetic equations with inelastic interactions.
Program:

1. Basics of the Wasserstein distance & Model equations: nonlinear diffusions and homogeneous inelastic kinetic equations; description of models and main formal properties of their solutions; contractivity for 1-D models: consequences on qualitative properties of the solutions.
2. Gradient flows for the euclidean Wasserstein distance: asymptotic behavior for nonlinear diffusions and simplified homogeneous inelastic kinetic models; formal ideas behind gradient flows; contractivity in several dimensions; quantified displacement convexity and decay rates; entropy method versus mass transportation method for large time asymptotics.
3. Large time asymptotics for general nonlinear diffusion equations and scalar conservation laws: asymptotic profiles and identification of universal behavior; applications to the large time asymptotics of scalar conservation laws with integrable bounded positive initial data and decay rates towards N-waves.
4. Contractivity for the inelastic Boltzmann equation: Wassertein and Fourier-based metrics: conditions for being "equivalent"; contractivity of Wasserstein and Fourier-based distances for the inelastic homogeneous Boltzmann operator in the maxwellian approximation; existence, uniqueness, nonlinear asymptotic stability and decay rates for diffusive equilibria and homogeneous cooling states.

Lecture 1: Main Models & Basics of Wasserstein Distance

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Presentation of models. Wasserstein Distance: Basics. Contractivity in 1D. Lecture 1: Main Models & Basics of. Wasserstein Distance. J. A. Carrillo ...

2007  37 books

# Evolution to Complex Geometries and Applications to Fluid Dynamics

Claudio Canuto, ‎M. Yousuff Hussaini, ‎Alfio Quarteroni - 2007

This book is a companion to Spectral Methods: Fundamentals in Single Domains. Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation.

Bridges and Vaserstein

## edited by Jeffrey Cheeger and Karsten Grove.

Somerville, MA : International Press, c2007.  347 pages

ISBN 1571461175  9781571461179

### Spectral Methods: - Page 539, 550

Evolution to Complex Geometries and Applications to Fluid Dynamics

Claudio Canuto, ‎M. Yousuff Hussaini, ‎Alfio Quarteroni - 2007

Standard algorithms may be applied to extract the full spectrum. Bridges and Morris (1984) discuss a factorization approach to produce a subset of the eigenvalues, and Bridges and Vaserstein (1986) describe several methods based on ...

Galois and motivic Galois groups

by Wallace, Christopher

The University of Chicago, 2007

Matthews, C. R., Vaserstein, L. N., Weisfeiler, B., Congruence Properties of

Zariski Dense Subgroups I, Proc. London Math. Soc. X L V III (1984) 385-576

Decentralized algorithms for search and routing in large-scale networks

The Pennsylvania State University, 2007

During the past decade, advances in technology and science have led to many large-scale distributed systems which can be characterized as networks. Some...

Ph.D. committee member Vaserstein

Applications of Information Theory to Computer Graphics  pdf - Page 636

Part I: Introduction

by Mateu Sbert  Miquel Feixas  Jaume Rigau Ivan Viola and Miguel Chover

cretized is critical for the efficiency of the result. We define ... and stability are defined, as well as methods for the selection of best n-views and ...... Vasershtein-Ornstein probability .... since they are specific constants for each scene and are im-.

Vasershtein-Ornstein divergence

Measure Theory - Volume 1 - Page 541, 559

... Mill J. van van Os C.H.: see Os C.H. van van Rooij A. CM.: see Rooij A. CM, van Van Vleck E.B. I: 425 Varadarajan V.S. II: 166, 197, 250, 443, 447, 452, 455, 458 Varadhan S.R.S. II: 453 Vasershtein L.N. II: 454 Vath M. I:  Full Text Online

Scale Space and Variational Methods in Computer Vision: - Page vii, 699, 703, 705, 707

First International Conference, SSVM 2007, Ischia, Italy, May 30 - June 2, 2007, Proceedings

Wasserstein. Distance. The original Monge-Kantorovich problem was first posed in 1781 by G. Monge in [11]: what is the minimum work required to move a pile of dirt into a hole with the same volume? The original mathematical formulation ...

ISBN3540728236, 9783540728238 931 pp

To overcome this issue, we propose to use the Wasserstein distance (Monge-Kantorovich distance) to compare ...  :

Full Text Online

3.2 Kolmogorov-Smirnov (Uniform) distance Besides the moment matching method, a common approach is to ... 3.3 Wasserstein distance and the facility location problem Due to the Kantorovich-Rubinstein theorem (Section 2.2.1) the problem ...

Variational Analysis and Applications - Page 498

F. Giannessi, ‎A. Maugeri - 2007

The novelty in our development is that the dynamical process is set in a weak topology as described by a Kantorovich-Wasserstein metric. This owes in part to a result of Brenier and Benamou, [3]. It illustrates the feasibility of mesoscale ...

On Conformal Field Theories, Discrete Groups and Renormalization,

Volume 2 of Frontiers in Number Theory, Physics, and GeometryEditorsPierre Cartier Publisher Springer, 2007ISBN3540303081, 9783540303084 817 pages

Entropy Methods for the Boltzmann Equation:  - Page 47

Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001, Issue 1916

Fraydoun Rezakhanlou, Cédric Villani, François Golse - Springer 2007

in particular ^2(Q+(/, /),M) < W(/,M). Here VK2 is the (improperly called) Wasser- stein distance with exponent 2 W2(f ... 0(e-(A-°)*). (A = spectral gap of the

Discrete and continuous dynamical systems: Series B. - Volume 8, Pages 529-1026 - Page 877

[11] U. Gianazza, G. Savar6 and G. Toscani, The Wasserstein gradient flow of the Fisher information and the quantum drift- diffusion equation, Preprint, Universita di Pavia, Italy, (2006). [12] M. P. Gualdani, A. Jiingel and G. Toscani, A nonlinear ...

Topological algebras and applications:  - Page 7, 8, 14

5th International Conference on Topological Algebras and Applications, June 27-July 1, 2005, Athens, Greece, Volume 10

Volume 427 of Contemporary mathematics - American Mathematical Society

Anastasios Mallios, Marina Haralampidou - 2007 ISBN0821838687, 9780821838686 442 pp

Amer. Math. Soc. 105 (1962), 264-277. [13] L. N. Vaserstein, Vector bundles and projective modules, Trans. Am. Math. Soc. 294 (1986), no. 2, 749-755.

OPERATIONS RESEARCH, jilid 1 - Page 71

Operation Research jilid 1 / Siswanto -- Jakarta , Erlangga , 2007. xii , 428 hal; 26 cm. ISBN, : 9789797818357. Lokasi, : Perpustakaan Kementerian Keuangan ...

Vaserstein, Leonid Nison, Introduction to Linear Programming, Prentice Hall, New Jersey 2003.

R. Sivaramakrishnan - 2007

He has also extended this result to a residue class ideal of a number ring. Mn(Z) denotes the ring of n×n matrices with entries from Z. L. N. Vaser- stein has shown that given an integer p and A M2(Z), one can find matrices X,Y M2(Z) such ...

Алгебра и анализ: - Volumes 1-3; Volume 19 - Page 49, 50

Paris Ser. A-B 283 (1976), A693-A695. Vaserstein L. N., On the normal subgroups of the GL„ over a ring, Algebraic ... Vaserstein L. N., Normal subgroups of orthogonal groups over commutative rings, Amer. J. Math. 110 (1988), no. 5, 955-973.

Gröbner Bases in Control Theory and Signal Processing - Page 105

L. N. Vaserstein and A. A. Suslin, Serre's Problem on projective modules over polynomial rings and algebraic if-theory, Math. USSR Izviestija ...

Combinatorics and Probability - Page 82

Graham Brightwell, Imre Leader, Alex Scott - 2007

References [1] Arratia, R. (1996) Independence of prime factors: total variation and Wasserstein metrics, insertions and deletions, and the ... 51 800–832. [14]

In Honor of the 65th Birthday of Antonio Greco, Palermo, Italy, 5-7 June 2006

Tommaso Ruggeri, Marco Sammartino - World Scientific, 2007 - 216 pages

Eustasio Del Barrio, Paul Deheuvels, Sara A. Geer - 2007 - 254 pages

5. Tests based on Wasserstein distance

Dirk Blömker - World Scientific, 2007 - 126 pages ISBN9812706372, 9789812706379

E. Diday, Paula Brito, Patrice Bertrand - 2007 - 634 pages

Surveys in differential geometry: metric and comparison geometry - Page 233, 237, 240

Jeff Cheeger, Karsten Grove - 2007 - 347 pages

Wasserstein distance

Juan Luis Vázquez - 2007 - 624 pages

The idea proposed by F. Otto [413] sees the HE, the PME and other nonlinear diffusion equations as gradient flows in a space of measures endowed with a convenient metric given by the Wasserstein distance, a tool developed in probability ...

Madrid, August 22-30, 2006, Volume 1

Marta Sanz Solé - 2007 - 4500 pages Amer Mathematical Society

If we replace the exponent 2 by p e [1 , oo] in the Wasserstein formula (13), we get the Wasserstein non-quadratic distances. ...

Wasserstein distance

Fabio Ancona - 2007 - 404 pages

Wasserstein-metric-based, Wasserstein distance

Michael Griebel, Marc Alexander Schweitzer - 2007 - 306 pages

Wasserstein distance

Festschrift in Honor of Giorgio Picci on the Occasion of His Sixty-Fifth Birthday

Alessandro Chiuso, Augusto Ferrante, Stefano Pinzoni - 2007 - 355 pages

Volume 364 of Lecture Notes in Control and Information Sciences

celebrating Béla Bollabás's 60th birthday

Papers presented at the conference "Combinatorics in Cambridge," held in Cambridge, Aug. 4th-7th, 2003

edited by Graham Brightwell, Imre Leader, Alex Scott, Andrew Thomason -  Cambridge University Press, 2007 - 633 pages ISBN0521872073, 9780521872072

Wasserstein distance, Wasserstein metrics

Dynamics in models of coarsening, coagulation, condensation and quantization  - Page 39

Weizhu Bao, Jian-Guo Liu - 2007 - 294 pages

Volume 9 of Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore

Applications to Gases, Semiconductors, Photons, and Biological Systems

Carlo Cercignani, Ester Gabetta - 2007 - 271 pages

Perspectives in nonlinear partial differential equations: in honor Haïm - Page 482

Henri Berestycki - 2007 - 495 pages

. L. Ambrosio, N. Gigli, G. Savare, Gradient Flows in Metric Spaces and in the Wasserstein Spaces of Probability Measures, Birkhaiiser, (2005). .

August Gutzmer, Ernest Wölffing Georg Reimer, 2007

Handbook of Linear Algebra - Page 49-18

... Holmes and T. Y. Tarn 68-1 69 Nonassociative Algebras Murray R. Bremner, Lucia I. Murakami, and Ivan P. Shestakov 69- 1 70 Lie Algebras Robert Wilson 70-1 Applications to Optimization 50 Linear Programming Leonid N. Vaserstein 50-

MR2279160 (2007j:15001) Handbook of linear algebra. Edited by Leslie Hogben. Associate editors: Richard Brualdi, Anne Greenbaum and Roy Mathias.

Discrete Mathematics and its Applications (Boca Raton). Chapman & Hall/CRC, Boca Raton, FL, 2007. xxx+1370 pp.

ISBN: 978-1-58488-510-8; 1-58488-510-6, 15-00 (00A20)

Vladimir Igorevich Bogachev - 2007 - 575 pages

52, 455] [1919] Vasershtein L.N. Markov processes over denumerable products of spaces describing large system of automata. Probl. Peredaˇci Inform. 1969.

2008   43 books

### Serre's Conjecture - Page ix   (10 pages)

T.Y. Lam - 2006 - ‎Preview - ‎More editions

(13) Using the powerful method of symplectic modules, A. Suslin and L. N. Vaserstein proved, in l973/71, that P must be free in the following cases: (a) if rank P = + + 1 . (b) if n 3. l, 5, (c) if n = 6 and k is a finite field. (See [Vaserstein-Suslin: 1971, j, or [Bass : 1973/7]]). Independently of Vaserstein and Suslin, R. Swan proved certain cancellation theorems in 1971, which also led to (a) above if k is infinite, and to the case n = H if k is infinite of characteristic # 2. Swan's argument refined that ...

### Computational Conformal Geometry

Xianfeng David Gu, ‎Shing-Tung Yau - 2008 - ‎Snippet view - ‎More editions

Computational conformal geometry is an emerging inter-disciplinary field, with applications to algebraic topology, differential geometry and Riemann surface theories applied to geometric modeling, computer graphics, computer vision, medical ...

# Data Analysis, Machine Learning and Applications:  - Page xvi, xv, 709, 711, 716

Proceedings of the 31st Annual Conference of the Gesellschaft für Klassifikation e.V., Albert-Ludwigs-Universität Freiburg, March 7-9, 2007

### A New Interval Data Distance Based on the Wasserstein Metric 711

by Verde, Rosanna; Irpino, Antonio  Book Chapter:  Full Text Online

Расположение подгрупп полной линейной группы степени два над полем рациональных функций, содержащих квадратичный тор

Дзигоева, Валентина Созрыкоевна — 01.01.06 — Владикавказ, 2008

... над кольцами и нормальностью элементарной подгруппы, рассматривались

Л.Н.Васерштейном, А.В.Михалевым, И.З.Голубчиком, А.А.Суслиным, З.И.Боревичем, Н.А.Вавиловым и многими ... ... . Владикавказский Мат.Журн.,10(2008),10-23.

59. Васерштейн Л.Н., Михалев А.В., О нормальных подгруппах ортогональной ...

### Stochastic Analysis - EMS  Oberwolfach Reports

European Mathematical Society Publishing House

by JD Deuschel - ‎2008

... equation), that appeared in talks on scaling scaling limits of dynamical percolation, ... where the space of measures is equipped with the Wasserstein distance.

# Jean Barge, Jean Lannes

ISBN: 978-3-7643-8709-9 (Print) 978-3-7643-8710-5 (Online) Zbl 1151.55001

Logistics engineering handbook

by Taylor, G. Don  2008

### Suites de Sturm, indice de Maslov et périodicité de Bott - Page 35, 197

Jean Barge, ‎Jean Lannes - 2008 - ‎Mathematics

Soit a un élément de £l(R[T]) avec a(0) = L et a(l) = A. Si l'anneau R est ... Grunewald, Mennicke et Vaserstein montrent dans [GMV] que l'évaluation en (0,0 . . .

Three essays in economics

by Karavaev, Andrei

The Pennsylvania State University, 2008

This dissertation consists of three essays in economics. The first essay studies information trading in fixed networks of economic agents who can only...

Ph.D. committee member Vaserstein

COMPSTAT 2008: - Page vii, 76, 77, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 561 (15 pages)

Paula Brito - 2008

Comparing Histogram Data Using a Mahalanobis–Wasserstein Distance Full Text Online

Scenarios for Risk Management and Global Investment Strategies  - Paga x, xvii, 256, 270, 273, 315

Rachel E. S. Ziemba, ‎William T. Ziemba - 2008

Figure 26.4 Approximation of a t-distribution with a Kolmogrov-Smirnov distance on the left and the Wasserstein distance measure on ...

Kazhdan's Property (T) - Page 465

Bachir Bekka, ‎Pierre de la Harpe, ‎Alain Valette - 2008

[Vaser–68] L.N. Vaserstein. Groups having the property (T). Funct. Anal. Appl., 2:174, 1968. [Vaser–88] L.N. Vaserstein. Reduction of a matrix depending on parameters to a diagonal form by addition operators. Proc. Amer. Math. Soc, 103:741– ...

Proceedings - Volume 11 - Page 37, 39

Association for Computing Machinery, 2008

Finally, we compare fixed-PRR links of the various simulation methods to the Kantorovich-Wasserstein distance on conditional packet delivery functions (CPDFs). CPDFs describe packet delivery probability given n consecutive successes or ...

Colin Douglas Hinde - 2008

Let W2(M,m) = (W2(M,m),dw) be the L2-Wasserstein space of probability measures on M absolutely continuous with respect to m ... If no, fii E W2{M, m) the distance between them has ^(^0,^1) = fMxMd2(p,q)du where u, an optimal coupling, ...

Abstracts of papers presented to the American Mathematical Society - Volume 29 - Page 507

Some probabilistic and topological properties of the free quantum orthogonal group A0(n). The free ... Our proof involves obtaining an Otto-Villani type estimate on the Biane-Voiculescu-Wasserstein distance for free diffusion starting at the ...

Efficient Transient Noise Analysis in Circuit Simulation - Page 144

Thorsten Sickenberger - 2008

A class of Wasserstein metrics for probability distributions. Michigan Math. ... Sixth quantum 1/F noise and other low frequency fluctuations in electronic devices, volume 371 of AIP conference proceedings, Woodbury, 1993. American Institute ...

Finite Fields and Applications:  - Page 61, 77

Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia

Gary L. Mullen, Daniel Panario, Igor E. Shparlinski - 2008

Volume 461 of Contemporary mathematics - American Mathematical Society

[22] L.N. Vaserstein. Waring's problem for algebras over fields, J. Number Theory 26 (1987). 286-298. [23] L.N. Vaserstein, Ramsey's Theorem and Waring's Problem, in The Arithmetic of Function Fields (eds D. Goss and al), de Gruyter.

Intro To The Theory Of Numbers 6E - Page 449

Godfrey Harold Hardy, Edward M. Wright, David Rodney Heath-Brown - 2008

Vaserstein has shown that ν(8) 28 (J. Number Theory 28 (1988), 66–68), and A. Choudhry has proved that ν(7) 12 (J. Number Theory 81 (2000), 266–9). Both conclusions depend on the existence of remarkable polynomial identities too ...

Variational PDE-based image segmentation and inpainting with Applications in Computer Graphics, 35

Kang-Yu Ni, University of California, Los Angeles - ProQuest, 2008  120 pp ISBN0549980636, 9780549980636

The optimal transport distance, commonly called the Wasserstein distance with exponent p, is Wp(p, v) = Tp(n, v)1/p. ... The goal of this work is to understand low-order feature segmentation, which is based on the statistics of image intensity ...

Paula Brito - 2008

Proceedings in Computational Statistics 2008 Paula Brito. of histogram data. The Mahalanobis–Wasserstein distance and the proposed interdependency measures between histogram variables can be considered as new useful tools for ...

 ISBN 3790820849, 9783790820843

Wasserstein Space Over the Wiener Space

Shizan Fang, Jinghai Shao, Karl-Theodor Sturm - 2008

Séminaire de Probabilités XLI - Page 131, 370

Catherine Donati-Martin, Michel Émery, Alain Rouault - 2008

Wasserstein. distance. F. Bolley Ecole Normale Sup ́erieure de Lyon,

A Level-set Method for Solving Elliptic Eigenvalue Problems on  Hypersurfaces, And, Finite-time Blow-up of L(infinity) Weak Solutions of an Aggregation Equation  - Page 51

Jeremy Brandman - 2008

Global-in-time solutions of (2.1), with the addition of a density-dependent diffusion used to model repulsion, were studied ...

by viewing solutions as gradient flows in the Wasserstein metric and long-time behavior of solutions was also studied.

Probability theory: a comprehensive course - Page 384

Achim Klenke - 2008 - 616 pages

Wasserstein metric

, Stephen P. Boyd, Hidenori Kimura - 2008 - 277 pages

Wasserstein distance

Philippe Blanchard, Dimitri Volchenkov - 2008 - 181 pages

Wasserstein distance

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré - 2008 - 334 pages

E. A. Carlen and W. Gangbo, Constrained steepest descent in the 2- Wasserstein metric, Ann. of Math. ...

Gradient flows in metric spaces and in the space of probability measures. 2nd ed. (English)

Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 334~p.   (2008). MSC2000: *35-02 49-02 49J40

Wasserstein distances;

Transition from Microscopic to Macroscopic Equations

Peter Kotelenez - 2008 - 458 pages

Wasserstein distance

Proceedings of an International Workshop Held at Rockefeller Foundation's Bellagio Conference Center, Milan, Italy 2006

Approximation of parabolic equations based upon Wasserstein's variational principle,

Statistical advances in the biomedical sciences: - Page 268

Clinical Trials, Epidemiology, Survival Analysis, and Bioinformatics

Atanu Biswas - 2008 - 582 pages

Atanu Biswas, Sujay Datta, Jason P. Fine, Mark R. Segal Wiley, Dec 14, 2007 - 640 pages

Bayesian inference and maximum entropy methods in science and engineering - Page 61, 62

28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Boracéia, São Paulo, Brazil, 6-11 July 2008

Marcelo de Souza Lauretto, Carlos Alberto de Bragança Pereira, Julio Michael Stern - 2008 - 384 pages

Asymptotic theory of statistics and probability - Page  464, 486, 707  (8 pages)

Anirban DasGupta - 2008 - 722 pages

Kolmogorov's zero-one law, 6 Kolmogorov and Wasserstein metrics, ... 536–537 infinite-order kernels, 537 kernel density estimation consistency of, 533–535 ...

Wasserstein

Proceedings of the 8th International Flins Conference : Madrid, Spain, 21-24 September2008

Da Ruan, Javier Montero, Jie Lu - 2008 - 1173 pages

Ravindra Khattree, Dayanand N. Naik - 2008 - 408 pages

Wasserstein metric

Proceedings of the 31st Annual Conference of the Gesellschaft für Klassifikation e.V., Albert-Ludwigs-Universität Freiburg, March 7-9, 2007

Christine Preisach, Hans Burkhardt, Lars Schmidt-Thieme - 2008 - 719 pages

Last row: Corrected Rand Index (CRI) of the obtained partition compared with the expert partition c L2 Wasserstein Adaptive L2 HausdorffL1 distance ...

Mathematical models of granular matter - Page 70

Gianfranco Capriz, Pasquale Giovine, Alain Barrat - 2008 - 212 pages

Wasserstein distance

Joint Projects Between Universities and Industry 2004-2007 (Google eBook)

Willi Jäger, Hans-Joachim Krebs - 2008 - 357 pages

Wasserstein metric

Peter Mörters - 2008 - 336 pages

Wasserstein distance

Seminar on Stochastic Analys