kotecky | malyshev  |

Breugel see e-mail |  Pestov, see e-mail |
 
Graev, M. I.Free topological groups. (Russian)
 Izvestiya Akad. Nauk SSSR. Ser. Mat. 12, (1948). 279--324.
 
Arens, Richard F.; Eells, James, Jr.
On embedding uniform and topological spaces.
Pacific J. Math. 6 (1956), 397--403.

L.N.Vaserstein, Markov  processes on product of spaces,
1965 Moscow State University Price for undergraduate research.

L.N.Vaserstein,
Markov processes on countable space products describing large systems
 of   automata,
Probl.Pered.Inform. 5:3 (1969), 64-72 = Probl. Inform.Transm. 5:3, 47-52.
MR 47#2667. Z273.60054. RZh 1970.2V388.    2.24.69.
Cited in: 51 #7055    |  50 #1326  |  48 #7324   |

Wasserstein distance: 
217 reviews with Vaserstein  in review text from Math Reviews
141 references in MR
85 results    from ISI Web of Knowledge with Wasserstein in topic   
 298 results  from Web of Science  with Wasserstein in topic.

See also
Wasershtein
Vasershtein


T.Mikami Appl M Opt 42:2 (2000) | 

Path Functionals over Wasserstein Spaces  Preprint (2004)  

Alessio Brancolini,  Giuseppe Buttazzo - Filippo Santambrogio 
Convergence in the Wasserstein Metric for Markov Chain Monte Carlo Algorithms with Applications to Image Restoration
Published in Stochastic Models , Volume 20 , Issue 4
Print ISSN: 1532-6349
Online ISSN: 1532-4214

Notes on a Wasserstein metric convergence method for Fokker-Planck equations with point controls February 1, 2004 Luca Petrelli 1 Department of Mathematical ...

Contractivity of Wasserstein-type distances: asymptotic profiles, equilibration
rates and qualitative properties Jos? e A. Carrillo Instituci` o Catalana de

http://arxiv.org
math.OA/0006044 [abs, ps, pdf, other] :
    Title: A Free Probability Analogue of the Wasserstein Metric on the Trace-State Space
    Authors: Philippe Biane, Dan Voiculescu
    Comments: 14 pages, Incomplete Preliminary Version
    Subj-class: Operator Algebras
MSC-class: 46L54; 60E99; 94A17

 MR1015898 (90k:82006) Kirillov, A. B.; R\u adulescu, D. C.; Styer, D. F. Vasserstein distances in two-state systems.  J. Statist. Phys.  56  (1989),  no. 5-6, 931--937. (Reviewer: Milos Zahradnik) 82A05 (82A68

 MR0328982 (48 #7324) Vallander, S. S. Calculations of the Vasser\v ste\u\i n distance between probability distributions on the line. (Russian) Teor. Verojatnost. i Primenen. 18 (1973), 824--827. (Reviewer: I. Csiszar) 60B05

others  

from SPIN:
Michel Petitjean    ITODYS (CNRS, ESA 7086), 1 rue Guy de la Brosse, 75005 Paris, France
(Received 22 November 2001; accepted 11 April 2002)
An index evaluating the amount of chirality of a mixture of colored random variables is defined. Properties are established. Extreme chiral mixtures are characterized and examples are given. Connections between chirality, Wasserstein distances, and least squares Procrustes methods are pointed out. ©2002 American Institute of Physics.
doi:10.1063/1.1484559
PACS: 33.15.Bh, 02.50.Cw, 02.70.Rr, 02.10.Ab  

<<<
Hutchinson

MR1460463 (99e:28011) Åkerlund-Biström, Cecilia
A generalization of the Hutchinson distance and applications. 
Random Comput. Dynam.  5  (1997),  no. 2-3, 159--176. (Reviewer: S. Dubuc) 28A80 (58F12)
 
MR1345798 (96g:60005) Barahona, Francisco; Cabrelli, Carlos A.; Molter, Ursula M. Matching probability measures on the line under translation. Random Comput. Dynam. 3 (1995), no. 3, 121--135. 60B05 (65U05)

MR1181383 Barahona, Francisco; Cabrelli, Carlos A.; Molter, Ursula M. Computing the Hutchinson distance by network flows. Random Comput. Dynam. 1 (1992/93), no. 1, 117--129. 90B15

MR1143907 Brandt, Jonathan; Cabrelli, Carlos; Molter, Ursula An algorithm for the computation of the Hutchinson distance. Inform. Process. Lett. 40 (1991), no. 2, 113--117. 68Q25


 Hutchinson J., "Fractals and self similarity," Indiana Univ. Math. J., 30, No. 5, 713--747 (1981). MR0625600 (82h:49026)

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