My name in books

My name in title from Math Reviews

My name in title from other sources

My publications



Vaserstein in title from Math. Reviews 10 items


MR3144594 Prelim Rao, Dhvanita R.; Gupta, Neena; On the non-injectivity of the Vaserstein symbol in dimension three. J. Algebra 399 (2014), 378–388.


MR0882802 (88m:18020) van der Kallen, Wilberd Vaserstein's pre-stabilization theorem over commutative rings. Comm. Algebra 15 (1987), no. 3, 657--663. (Reviewer: Roger C. Alperin) 18F25 (16A54 19B10)


MR1113961 (92k:19001a) Hinson, Edward K. On Vaserstein's power operation on elementary orbits. Comm. Algebra 19 (1991), no. 6, 1851--1854. (Reviewer: Charles Weibel) 19B99 (20H25)


MR1155684 (92k:19001b) Hinson, Edward K. On Vaserstein's power operation on elementary orbits. Comm. Algebra 20 (1992), no. 1, 303--307. (Reviewer: Charles Weibel) 19B99 (20H25)


MR1352866 (96j:11028) Zhang, Zhao Ji On a problem of Vaserstein. (Chinese) Zhejiang Daxue Xuebao Ziran Kexue Ban 28 (1994), no. 5, 608--611. (Reviewer: Qi Sun) 11C20 (11A05)  Zbl 0838.11022


MR1701386 (2000f:60019) Abdellaoui, Taoufiq Approximation de la $L^1$-distance de Wasserstein. (French) [Approximation of $L^1$-Vaserstein distance] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1203--1206. 60E05


MR2473300 (2010a:32022) Ivarsson, Björn; Kutzschebauch, Frank A solution of Gromov's Vaserstein problem. C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1239--1243. (Reviewer: Sergey Ivashkovich) 32E10 (15A23 15A54). Zbl 1160.32017


MR2749274 Vavilov, N. A.; Sinchuk, S. S. Decompositions of Dennis-Vaserstein type. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 375 (2010), Voprosy Teorii Predstavlenii Algebr i Grupp. 19, 48–60, 210, 20G35

Dennis-Vaserstein type decompositions = Разложения типа Денниса–Васерштейна


MR3071388 Prelim Butkovsky, O. A.; Veretennikov, A. Yu.; On asymptotics for Vaserstein coupling of Markov chains. Stochastic Process. Appl. 123 (2013), no. 9, 3518–3541.


MR3144594 Rao, Dhvanita R.(6-BHAVC); Gupta, Neena(6-ISI-SMU)

On the non-injectivity of the Vaserstein symbol in dimension three. (English summary) 

J. Algebra 399 (2014), 378–388.  13C10 (19B14 19G12)

 


Vasershtein in title from Math. Reviews 1 item


MR0583946 (82e:62057)  Papantoni-Kazakos, P. The Vasershtein distance as the stability criterion in robust estimation. 

IEEE Trans. Inform. Theory 26 (1980), no. 5, 620--625.  62F35



Vasserstein in title from Math. Reviews 2 items


MR1015898 (90k:82006) Kirillov, A. B.; Rădulescu, 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 Vasseršteĭn distance between probability distributions on the line. (Russian) Teor. Verojatnost. i Primenen. 18 (1973), 824--827. (Reviewer: I. Csiszar) 60B05.  English translation: Theory Probab. Appl., 18(4), 784–786. (3 pages)

Abstract: We prove that the Wasserstein distance between probability distributions on the line

coincides with the $L^1$-distance between their distribution function. ...


Wasserstein in title from Math. Reviews


Wasserstein in title from Math. Reviews 1978-1999  17 items


MR0536797 (80d:62004b) Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. Vol. B.  Held in Prague, August 28–September 1, 1978. D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1978. 402 pp. ISBN: 90-277-0913-0  62-06 (60-06 90-06 93Exx 94Axx)

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)


MR0752258 (85m:60009) Givens, Clark R.; Shortt, Rae Michael A class of Wasserstein metrics for probability distributions. Michigan Math. J. 31 (1984), no. 2, 231--240. (Reviewer: R. M. Dudley) 60B10 (60E15)


MR0795791 (86m:60004) Rüschendorf, Ludger The Wasserstein distance and approximation theorems. Z. Wahrsch. Verw. Gebiete 70 (1985), no. 1, 117--129. (Reviewer: S. T. Rachev) 60A10 (60B10 60G05)


MR1009457 (90k:60029) Cuesta, Juan Antonio; Matrán, Carlos Notes on the Wasserstein metric in Hilbert spaces. Ann. Probab. 17 (1989), no. 3, 1264--1276. (Reviewer: S. T. Rachev) 60E05 (60B05 60B12)


MR1074632 (92d:60007) Rachev, S. T.; Shortt, R. M. Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals. Dissertationes Math. (Rozprawy Mat.) 299 (1990), 35 pp. (Reviewer: Donald L. Cohn) 60B10 (60F05 60F17)


MR1127323 (93a:62081) Gelbrich, Matthias On a formula for the $L^2$ Wasserstein metric between measures on Euclidean and Hilbert spaces. Math. Nachr. 147 (1990), 185--203. (Reviewer: Juan A. Cuesta-Albertos) 62H05 (60B11 62E10)


MR1209844 (93m:60194) Simonot, François Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein. (French) [Analysis of the stability of storage systems using the Vaserstein metric] Statist. Anal. Données 16 (1991), no. 3, 183--201. 60K30


MR1165653 (93h:60010) Cuesta, Juan A.; Matrán, Carlos A review on strong convergence of weighted sums of random elements based on Wasserstein metrics. J. Statist. Plann. Inference 30 (1992), no. 3, 359--370. (Reviewer: A. Bozorgnia) 60B12 (60B11)


MR1207216 (94a:60019) Tuero, Araceli On the stochastic convergence of representations based on Wasserstein metrics. Ann. Probab. 21 (1993), no. 1, 72--85. (Reviewer: Ludger Rüschendorf) 60E05 (60B10)


MR1297788 (95i:60026) Cuesta-Albertos, Juan A.; Matrán-Bea, Carlos Stochastic convergence through Skorohod representation theorems and Wasserstein distances. First International Conference on Stochastic Geometry, Convex Bodies and Empirical Measures (Palermo, 1993). Rend. Circ. Mat. Palermo (2) Suppl. No. 35 (1994), 89--113. (Reviewer: Mindaugas Bloznelis) 60F15 (60B11 60B12 60F25)


MR1329874 (96d:60020) Horowitz, Joseph; Karandikar, Rajeeva L. Mean rates of convergence of empirical measures in the Wasserstein metric. J. Comput. Appl. Math. 55 (1994), no. 3, 261--273. (Reviewer: Joseph E. Yukich) 60D05 (60C05)


MR1385397 (97d:60025) Cuesta-Albertos, J. A.; Matrán-Bea, C.; Tuero-Diaz, A. On lower bounds for the $L^2$-Wasserstein metric in a Hilbert space. J. Theoret. Probab. 9 (1996), no. 2, 263--283. (Reviewer: Ludger Rüschendorf) 60E15


MR1485526 (98g:60105) Gelbrich, Matthias; Rachev, Svetlozar T. Discretization for stochastic differential equations, $L^p$ Wasserstein metrics, and econometrical models. Distributions with fixed marginals and related topics (Seattle, WA, 1993), 97--119, IMS Lecture Notes Monogr. Ser., 28, Inst. Math. Statist., Hayward, CA, 1996. 60H10 (60F17)


MR1698999 (2000g:60034) del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos Central limit theorems for the Wasserstein distance between the empirical and the true distributions. Ann. Probab. 27 (1999), no. 2, 1009--1071. (Reviewer: Lajos Horváth) 60F05 (60B12 62E20). Zentralblatt MATH: 0958.60012. Cited by 45


MR1701386 (2000f:60019) Abdellaoui, Taoufiq Approximation de la $L^1$-distance de Wasserstein. (French) [Approximation of $L^1$-Vaserstein distance] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1203--1206. 60E05


MR1726488 (2000k:65173) Kinderlehrer, David; Walkington, Noel J. Approximation of parabolic equations using the Wasserstein metric. M2AN Math. Model. Numer. Anal. 33 (1999), no. 4, 837--852. (Reviewer: Wilfrid Gangbo) 65M60 (35A35)


MR1740113 (2001a:60024) del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos; Rodríguez-Rodríguez, Jesús M. Tests of goodness of fit based on the $L_2$-Wasserstein distance. Ann. Statist. 27 (1999), no. 4, 1230--1239. (Reviewer: Lajos Horváth) 60F05 (60F25 62E20)



Wasserstein in title from Math. Reviews 2000-2003   11 items 


MR1769953 (2001b:60008) Belili, Nacereddine; Heinich, Henri Distances de Wasserstein et de Zolotarev. (French) [Wasserstein and Zolotarev distances] C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 9, 811--814. 60B10 (60E05)


MR1784174 (2002b:60055) Mikami, T. Dynamical systems in the variational formulation of the Fokker-Planck equation by the Wasserstein metric. Appl. Math. Optim. 42 (2000), no. 2, 203--227. (Reviewer: Shuenn Jyi Sheu) 60F15 (60H30 82C35)


MR1788425 (2002k:94006) Gangbo, Wilfrid; McCann, Robert J. Shape recognition via Wasserstein distance. Quart. Appl. Math. 58 (2000), no. 4, 705--737. 94A08 (28A35 49Q20).  Zbl 1039.49038 


MR1865668 (2002h:49069) Benamou, J. D.; Brenier, Y. Mixed $L^2$-Wasserstein optimal mapping between prescribed density functions. J. Optim. Theory Appl. 111 (2001), no. 2, 255--271. 49Q20 (49M30 65K10)


MR1878316 (2003d:46087) Biane, P.; Voiculescu, D. A free probability analogue of the Wasserstein metric on the trace-state space. Geom. Funct. Anal. 11 (2001), no. 6, 1125--1138. (Reviewer: Dimitri Y. Shlyakhtenko) 46L54


MR1915779 (2003d:62061) de Wet, T. Goodness-of-fit tests for location and scale families based on a weighted $L_2$-Wasserstein distance measure. Test 11 (2002), no. 1, 89--107. 62F05 (60G15 62E20). Zentralblatt MATH: 1037.62007


MR1936827 (2003h:28006) Belili, Nacereddine; Heinich, Henri Approximation pour la distance de Wasserstein. (French) [Approximation for the Wasserstein distance] C. R. Math. Acad. Sci. Paris 335 (2002), no. 6, 537--540. (Reviewer: Klaus D. Schmidt) 28A33 (60A10)


MR2058979 (2005k:62030) Cuesta-Albertos, Juan A.; Matrán Bea, Carlos; Rodríguez Rodríguez, Jesús M. Shape of a distribution through the $L_2$-Wasserstein distance. Distributions with given marginals and statistical modelling, 51--61, Kluwer Acad. Publ., Dordrecht, 2002. 62E10 (62E17 62H05)


MR1964961 (2004b:60060) del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos Correction: ``Central limit theorems for the Wasserstein distance between the empirical and the true distributions'' [Ann. Probab. 27 (1999), no. 2, 1009--1071; MR1698999 (2000g:60034)]. Ann. Probab. 31 (2003), no. 2, 1142--1143. 60F05 (60B12 62E20)


MR1983782 (2004c:49027) Carlen, E. A.; Gangbo, W. Constrained steepest descent in the 2-Wasserstein metric. Ann. of Math. (2) 157 (2003), no. 3, 807--846. (Reviewer: Luigi De Pascale) 49J45 (35Q99 49J10 60H15 82C35)


MR2073437 (2005f:60056) Haeusler, Erich; Mason, David M. Asymptotic distributions of trimmed Wasserstein distances between the true and the empirical distribution function. Stochastic inequalities and applications, 279--298, Progr. Probab., 56, Birkhäuser, Basel, 2003. (Reviewer: Lajos Horváth) 60F05 (62G30)



Wasserstein in title from Math. Reviews 2004-2006 12  items 


MR2048566 (2005b:82075) Carlen, E. A.; Gangbo, W. Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Arch. Ration. Mech. Anal. 172 (2004), no. 1, 21--64. (Reviewer: Laurent E. Gosse) 82C40 (35D05 35K15 82C31)


MR2094049 (2005k:60231) Gibbs, Alison L. Convergence in the Wasserstein metric for Markov chain Monte Carlo algorithms with applications to image restoration. Stoch. Models 20 (2004), no. 4, 473--492. (Reviewer: John P. Lehoczky) 60J20 (62M40)


MR2091496 (2005h:35304) Di Francesco, Marco; Markowich, Peter A. Entropy dissipation and Wasserstein metric methods for the viscous Burgers' equation: convergence to diffusive waves. Partial differential equations and inverse problems, 145--165, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, 2004. (Reviewer: Alp O. Eden) 35Q53 (35B40 35K55)


MR2163983 (2006c:35147) Carrillo, J. A.; Toscani, G. Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. New trends in mathematical physics, 234--244, World Sci. Publ., Hackensack, NJ, 2004. 35K57 (35B40 45K05 76T25 82C40 82C70)


MR2121458 (2005k:62135) del Barrio, Eustasio; Giné, Evarist; Utzet, Frederic Asymptotics for $L_2$ functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances. Bernoulli 11 (2005), no. 1, 131--189. (Reviewer: Lajos Horváth) 62G30 (60F05). Zbl 1063.62072


MR2192294 (2007c:28003) Otto, Felix; Westdickenberg, Michael Eulerian calculus for the contraction in the Wasserstein distance. SIAM J. Math. Anal. 37 (2005), no. 4, 1227--1255 (electronic). 28A33


MR2305058 Ambrosio, L. Gradient flows in metric spaces and in the Wasserstein space of probability measures. (Italian) Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 29 (2005), no. 1, 15--33. 28A33 (49Q20)


MR2148889 (2006i:35052) Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 15 (2004), no. 3-4, 327--343. (Reviewer: Gong Qing Zhang) 35J20 (28A33 35A15)


MR2209130 (2006j:76121) Carrillo, José A.; McCann, Robert J.; Villani, Cédric Contractions in the 2-Wasserstein length space and thermalization of granular media. Arch. Ration. Mech. Anal. 179 (2006), no. 2, 217--263. (Reviewer: Benoˆıt P. Desjardins) 76M30 (35K57 58E50 76T25 82C40)


MR2250166 (2007j:49051) Brancolini, A.; Buttazzo, G.; Santambrogio, F. Path functionals over Wasserstein spaces. J. Eur. Math. Soc. (JEMS) 8 (2006), no. 3, 415--434. (Reviewer: Luigi De Pascale) 49Q20 (28A33 49J45 58E10 90B10). Zbl 1130.49036 


MR2274850 (2008f:62025) Barbour, A. D.; Xia, Aihua On Stein's factors for Poisson approximation in Wasserstein distance. Bernoulli 12 (2006), no. 6, 943--954. (Reviewer: Dominic Schuhmacher) 62E17


MR2287892 (2007k:35315) Carrillo, José A.; Di Francesco, Marco; Lattanzio, Corrado Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws. J. Differential Equations 231 (2006), no. 2, 425--458. (Reviewer: Yu. G. Rykov) 35L65 (35B40)



Wasserstein in title from Math. Reviews 2007  5 items 


MR2255281 (2007k:35255) Carrillo, J. A.; Di Francesco, M.; Toscani, G. Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Proc. Amer. Math. Soc. 135 (2007), no. 2, 353--363 (electronic). (Reviewer: Ross Pinsky) 35K57 (35B40 35K15)


MR2267755 (2007k:49001) Lisini, Stefano Characterization of absolutely continuous curves in Wasserstein spaces. Calc. Var. Partial Differential Equations 28 (2007), no. 1, 85--120. (Reviewer: Paul Raynaud de Fitte) 49J10 (28A33 35Q35 49Q20)


MR2314463 (2008m:49206) Ambrosio, Luigi; Santambrogio, Filippo Necessary optimality conditions for geodesics in weighted Wasserstein spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), no. 1, 23--37. 49Q20 (35K55 49K05 76M30 76N10)


MR2339442 (2009d:35215) Carrillo, J. A.; Di Francesco, M.; Lattanzio, C. Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), no. 2, 277--292. 35L65 (28A33)


MR2343987 (2008f:35211) Tudorascu, Adrian Wasserstein kernels for one-dimensional diffusion problems. Nonlinear Anal. 67 (2007), no. 9, 2553--2572. (Reviewer: Toka Diagana) 35K57 (35D05 35R35 49M25)


Wasserstein in title from Math. Reviews 2008 16 items  (see VinTitle2 for for other 13 items)


MR2350420 (2009e:60010) Clement, Philippe; Desch, Wolfgang An elementary proof of the triangle inequality for the Wasserstein metric. Proc. Amer. Math. Soc. 136 (2008), no. 1, 333--339 (electronic). (Reviewer: Luigi De Pascale) 60B05 (49Q20)


MR2361303 (2009b:37101) Ambrosio, Luigi; Gangbo, Wilfred Hamiltonian ODEs in the Wasserstein space of probability measures. Comm. Pure Appl. Math. 61 (2008), no. 1, 18--53. (Reviewer: Cédric Villani) 37J05 (28A33 34F05 49J52 60B10)


MR2358290 (2009b:58014) Lott, John Some geometric calculations on Wasserstein space. Comm. Math. Phys. 277 (2008), no. 2, 423--437. (Reviewer: Cédric Villani) 58B20 (58J65)


MR2386101 (2009g:60007) Decreusefond, L. Wasserstein distance on configuration space. Potential Anal. 28 (2008), no. 3, 283--300. (Reviewer: Ali Süleyman Üstünel) 60B05 (60H07)


MR2389987 (2008m:35140) Tudorascu, Adrian On the Jordan-Kinderlehrer-Otto variational scheme and constrained optimization in the Wasserstein metric. Calc. Var. Partial Differential Equations 32 (2008), no. 2, 155--173. 35K15 (35A15 35A35 46E35 46N20 49J45 49M25)


MR2395521 (2009c:35041) Di Francesco, Marco; Wunsch, Marcus Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models. Monatsh. Math. 154 (2008), no. 1, 39--50. (Reviewer: Fucai Li) 35G25 (35B40 45M05 76X05 82D37)


MR2403310 (2010a:49064) Champion, Thierry; De Pascale, Luigi; Juutinen, Petri The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps. SIAM J. Math. Anal. 40 (2008), no. 1, 1--20. 49Q20 (49K30)


MR2417812 (2009e:53038) Figalli, A.; Juillet, N. Absolute continuity of Wasserstein geodesics in the Heisenberg group. J. Funct. Anal. 255 (2008), no. 1, 133--141. (Reviewer: Cédric Villani) 53C17 (22E25 49Q15)


MR2443374 (2010b:60009) Clément, Philippe; Desch, Wolfgang Wasserstein metric and subordination. Studia Math. 189 (2008), no. 1, 35--52. (Reviewer: Paul Raynaud de Fitte) 60B05 (28A33 47D06 54E35)


MR2452882 (2009k:58072) Daneri, Sara; Savaré, Giuseppe Eulerian calculus for the displacement convexity in the Wasserstein distance. SIAM J. Math. Anal. 40 (2008), no. 3, 1104--1122. (Reviewer: Chloé Jimenez) 58J65 (49J10)


MR2478676 Hairer, Martin; Mattingly, Jonathan C. Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Ann. Probab. 36 (2008), no. 6, 2050--2091. 35Q35 (35R60 47D07 60H15 76D05 76M35)


MR2482206 Ambrosio, Luigi; Gigli, Nicola Construction of the parallel transport in the Wasserstein space. Methods Appl. Anal. 15 (2008), no. 1, 1--29. (Reviewer: Koji Kikuchi) 49Q20 (28A33 35K55 47J35)


MR2483740 Bolley, F. Separability and completeness for the Wasserstein distance. Séminaire de probabilités XLI, 371--377, Lecture Notes in Math., 1934, Springer, Berlin, 2008. 60B05


MR2481677 Gangbo, Wilfrid; Nguyen, Truyen; Tudorascu, Adrian Hamilton-Jacobi equations in the Wasserstein space. Methods Appl. Anal. 15 (2008), no. 2, 155--183. 49L25 (47Jxx 82C40)


MR2487455 Walczuk, Anna Central limit theorem for an additive functional of a Markov process, stable in the Wesserstein metric. [Central limit theorem for an additive functional of a Markov process, stable in the Wasserstein metric] Ann. Univ. Mariae Curie-Skƚodowska Sect. A 62 (2008), 149--159. 60J25 (60F05)


MR2509579 Verde, Rosanna; Irpino, Antonio Comparing histogram data using a Mahalanobis-Wasserstein distance. COMPSTAT 2008---Proceedings in Computational Statistics, 77--89, Physica-Verlag/Springer, Heidelberg, 2008. 62G09 (62H11). Zbl 1147.62054




Wasserstein in title from Math. Reviews 2009 15 items (see VinTitle2 for other 17 items)


MR2713745 Kim, Hwa Kil; Hamiltonian systems and the calculus of differential forms on the Wasserstein space. Thesis (Ph.D.)–Georgia Institute of Technology. 2009. 87 pp. ISBN: 978-1109-37242-7, ProQuest LLC, Thesis


MR2599206 (2011d:60108) Schachermayer, Walter; Schmock, Uwe; Teichmann, Josef Non-monotone convergence in the quadratic Wasserstein distance. Séminaire de Probabilités XLII, 131–136, Lecture Notes in Math., 1979, Springer, Berlin, 2009. (Reviewer: Liviu Constantin Florescu), 60F99 (28A99 91B24)


MR2503990 Ohta, Shin-ichi Gradient flows on Wasserstein spaces over compact Alexandrov spaces. Amer. J. Math. 131 (2009), no. 2, 475--516. 53Cxx (46Txx)


MR2501322 Xia, Aihua; Zhang, Fuxi Polynomial birth-death distribution approximation in the Wasserstein distance. J. Theoret. Probab. 22 (2009), no. 2, 294--310. 60F05 (60J27)


MR2505360 Gangbo, W.; Nguyen, T.; Tudorascu, A. Euler-Poisson systems as action-minimizing paths in the Wasserstein space. Arch. Ration. Mech. Anal. 192 (2009), no. 3, 419--452. 37J50 (35G30 37N20 58Exx)


MR2523014 Petrelli, Luca; Kearsley, Anthony J. Wasserstein metric convergence method for Fokker-Planck equations with point controls. Appl. Math. Lett. 22 (2009), no. 7, 1130--1135. 35K20 (49J45)


MR2520126 Döring, Maik; Stannat, Wilhelm The logarithmic Sobolev inequality for the Wasserstein diffusion. Probab. Theory Related Fields 145 (2009), no. 1-2, 189--209. 31C25 (28Axx 35P15 47D07)


MR2537551 von Renesse, Max-K.; Sturm, Karl-Theodor Entropic measure and Wasserstein diffusion. Ann. Probab. 37 (2009), no. 3, 1114--1191. 60G57 (35R60 47D07 58J65 60J60)


MR2542579 Lisini, Stefano Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces. ESAIM Control Optim. Calc. Var. 15 (2009), no. 3, 712--740. 35K57 (28Axx 35B40 35K15)


MR2529165 Dostoglou, S.; Kahl, J. D. Approximation of homogeneous measures in the 2-Wasserstein metric. Math. Phys. Electron. J. 15 (2009), Paper 1, 19 pp. 60B10 (28Axx 35A35 49Q20)


MR2543873 Joulin, Aldéric A new Poisson-type deviation inequality for Markov jump processes with positive Wasserstein curvature. Bernoulli 15 (2009), no. 2, 532--549. 60J75


MR2543874 Schuhmacher, Dominic Stein's method and Poisson process approximation for a class of Wasserstein metrics. Bernoulli 15 (2009), no. 2, 550--568. 62E17


MR2533926 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Arch. Ration. Mech. Anal. 194 (2009), no. 1, 133--220. 35Qxx


MR2540269 Natile, Luca; Savaré, Giuseppe A Wasserstein approach to the one-dimensional sticky particle system. SIAM J. Math. Anal. 41 (2009), no. 4, 1340--1365. 35L65 (35L45 35Q35 76N15 82C22)


MR2555474 Hauray, Maxime Wasserstein distances for vortices approximation of Euler-type equations. Math. Models Methods Appl. Sci. 19 (2009), no. 8, 1357--1384. 35Q31 (35L65)


      

Wasserstein in title from Math. Reviews 2010. 14 items  (see VinTitle2 for other 20  items )


MR2672546 Lisini, Stefano; Marigonda, Antonio On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals. Manuscripta Math. 133 (2010), no. 1-2, 197–224, 49Q20 (49J27 49J40)


MR2655156 Irpino, Antonio; Verde, Rosanna Clustering linear models using Wasserstein distance. Data analysis and classification, 41–48, Stud. Classification Data Anal. Knowledge Organ., Springer, Berlin, 2010, 62H30 (62J05)


MR2652014 Portegies, Jacobus W.; Peletier, Mark A. Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows. Interfaces Free Bound. 12 (2010), no. 2, 121–150, 35Rxx (80Axx 82Dxx)


MR2644919 Bianchini, S.; Brancolini, A. Estimates on path functionals over Wasserstein spaces. SIAM J. Math. Anal. 42 (2010), no. 3, 1179–1217, 49Q20 (28A78 49K27 93B03)


MR2648273 Takatsu, Asuka On Wasserstein geometry of Gaussian measures. Probabilistic approach to geometry, 463–472, Adv. Stud. Pure Math., 57, Math. Soc. Japan, Tokyo, 2010. (Reviewer: Jonathan Henry Jordan), 60D05 (28A33). Zbl 1206.60016   


MR2641767 Erbar, Matthias The heat equation on manifolds as a gradient flow in the Wasserstein space. Ann. Inst. Henri Poincaré Probab. Stat. 46 (2010), no. 1, 1–23, 35A15 (58J35 58J65 60J60)


MR2606878 (2011b:60224) Andres, Sebastian; von Renesse, Max-K. Particle approximation of the Wasserstein diffusion. J. Funct. Anal. 258 (2010), no. 11, 3879–3905. (Reviewer: Nikita Y. Ratanov), 60H10 (60J25 60J68 60K35)


MR2606871 Kuwada, Kazumasa Duality on gradient estimates and Wasserstein controls. J. Funct. Anal. 258 (2010), no. 11, 3758–3774. (Reviewer: Po-Lam Yung), 35H20 (35R01 35R03 47D03 53C44 60J60)


MR2593592 (2010k:60106) Wang, Ran; Wang, Xinyi; Wu, Liming Sanov's theorem in the Wasserstein distance: a necessary and sufficient condition. Statist. Probab. Lett. 80 (2010), no. 5-6, 505–512, 60F10


MR2580956 (2011a:35237) Cavalli, Fausto; Naldi, Giovanni A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation. Kinet. Relat. Models 3 (2010), no. 1, 123–142, 35K55 (35B25 65M06)


MR2574738 Andres, Shizan; Shao, Jinghai; Sturm, Karl-Theodor Wasserstein space over the Wiener space. Probab. Theory Related Fields 146 (2010), no. 3-4, 535–565. (Reviewer: Hélène Airault), 60J45 (58B20 60H07)


MR2752678 Granieri, Luca Metric currents and geometry of Wasserstein spaces. Rend. Semin. Mat. Univ. Padova 124 (2010), 91–125. ISBN: 978-88-7784-325-8, 37J50 (49Q20)


MR2730652 Madras, Neal; Sezer, Deniz Quantitative bounds for Markov chain convergence: Wasserstein and total variation distances. Bernoulli 16 (2010), no. 3, 882–908, 60J22


MR2731158 (2011h:53045) Kloeckner, Benoît A geometric study of Wasserstein spaces: Euclidean spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 9 (2010), no. 2, 297–323. (Reviewer: Nicolas Juillet), 53C23 (28A33 49Q05)


Vaserstein in title MR 2010


MR2749274 (2012a:20082)   Vavilov, N. A.(RS-STPT); Sinchuk, S. S.(RS-STPT)

Decompositions of Dennis-Vaserstein type. (Russian. English, Russian summary) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 375 (2010), Voprosy Teorii Predstavlenii Algebr i Grupp. 19, 48--60, 210; translation in 

J. Math. Sci. (N. Y.) 171 (2010), no. 3, 331–337 



Wasserstein in title from Math. Reviews 2011, 17  items (see VinTitle2 for other 29 items)


MR2801182 Agueh, Martial; Carlier, Guillaume Barycenters in the Wasserstein space. SIAM J. Math. Anal. 43 (2011), no. 2, 904–924, 49Q20 (28A33 49K10 60D99).  Zbl 1223.49045


MR2799600 Lipman, Y.; Daubechies, I. Conformal Wasserstein distances: comparing surfaces in polynomial time. Adv. Math. 227 (2011), no. 3, 1047–1077, 53C23.  Zbl 1217.53026


MR2799815 Shao, Jinghai Transportation cost inequalities for Wasserstein diffusions. Bull. Sci. Math. 135 (2011), no. 4, 383–394, 60J68 (28A33 47D07 58Jxx 60J35).  Zbl 1221.60118


MR2808856 Gangbo, Wilfrid; Kim, Hwa Kil; Pacini, Tommaso Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems. Mem. Amer. Math. Soc. 211 (2011), no. 993, vi+77 pp. ISBN: 978-0-8218-4939-2, 37Kxx (53Dxx 58Axx).  Zbl 1221.53001


MR2784570 Mémoli, Facundo A spectral notion of Gromov-Wasserstein distance and related methods. Appl. Comput. Harmon. Anal. 30 (2011), no. 3, 363–401, 53Cxx (49Q20).  Zbl 1219.53046


MR2811584 Reviewed Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. Found. Comput. Math. 11 (2011), no. 4, 417–487. 68T10 (49Q15 54E35 60B05 60B10 68U10)


MR2740101 Muskulus, Michael; Verduyn-Lunel, Sjoerd Wasserstein distances in the analysis of time series and dynamical systems. Phys. D 240 (2011), no. 1, 45–58, 37M10 (60G35 62M10).  Zbl 1214.37054


MR2815689 Herrmann, Michael; Niethammer, Barbara Kramers' formula for chemical reactions in the context of Wasserstein gradient flows. Commun. Math. Sci. 9 (2011), no. 2, 623–635, 35Q84 (35B25 49S05 80Axx). Zbl 1219.35315


MR2811584 Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. Found. Comput. Math. 11 (2011), no. 4, 417–487, 68T10 (49Q15 54E35 60B05 60B10 68U10).  Zbl pre05977706


MR2861675 Pending Boissard, Emmanuel Simple bounds for convergence of empirical and occupation measures in 1-Wasserstein distance. Electron. J. Probab. 16 (2011), no. 83, 2296–2333. 60B10 (39B72).  Zbl pre06049139. Published: NOV 15 2011


MR2871291 Pending Takatsu, Asuka Wasserstein geometry of Gaussian measures. Osaka J. Math. 48 (2011), no. 4, 1005–1026. 53Cxx (60D05 60G15).  Zbl pre06006848. Published: DEC 2011.  pdf


MR2857030 Reviewed Stannat, Wilhelm Functional inequalities for the Wasserstein Dirichlet form. Seminar on Stochastic Analysis, Random Fields and Applications VI, 245–260, Progr. Probab., 63, Birkhäuser/Springer Basel AG, Basel, 2011. (Reviewer: Ren Ming Song) 60J60 (28A33 35A23 35P15 47D07 58J65 60J35)


MR2851684 Reviewed Caillerie, Claire; Chazal, Frédéric; Dedecker, Jérôme; Michel, Bertrand Deconvolution for the Wasserstein metric and geometric inference. Electron. J. Stat. 5 (2011), 1394–1423. (Reviewer: Vera Pawlowsky-Glahn) 62H12 (28A33 60B10 60D99 62G07 62G99)


MR2843007 Reviewed Eberle, Andreas Reflection coupling and Wasserstein contractivity without convexity. C. R. Math. Acad. Sci. Paris 349 (2011), no. 19-20, 1101–1104. 60J60.   Zbl 05966335 . Published: OCT 2011


MR2842966 Reviewed Adams, Stefan; Dirr, Nicolas; Peletier, Mark A.; Zimmer, Johannes From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Comm. Math. Phys. 307 (2011), no. 3, 791–815. (Reviewer: Boualem Djehiche) 60K35 (60F10). Zbl 05977587 .   Published: NOV 2011


MR2838101 Reviewed Sturm, Karl-Theodor Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions. Bull. Sci. Math. 135 (2011), no. 6-7, 795–802. 60B05 (46E30).  Zbl 05970569   . Published: SEP-NOV 2011


MR2812740 Pending Kreitmeier, Wolfgang Optimal vector quantization in terms of Wasserstein distance. J. Multivariate Anal. 102 (2011), no. 8, 1225–1239. 60E05 (60B05 62E17 68P30 94A17 94A29). Zbl 05918992.  Zbl 05918992   .  Published: SEP 2011



Wasserstein in title from Math. Reviews 2012, 11 items (see VinTitle2 for other 40 items)


MR2949241 Pending Takatsu, Asuka; Yokota, Takumi Cone structure of L2-Wasserstein spaces. J. Topol. Anal. 4 (2012), no. 2, 237–253. 58Bxx (28A33 53Cxx)


MR2994677 Prelim Gigli, Nicola; Ohta, Shin-Ichi; First Variation Formula in Wasserstein Spaces over Compact Alexandrov Spaces. Canad. Math. Bull. 55 (2012), no. 4, 723–735. pdf


MR2964689 Prelim Bolley, François; Gentil, Ivan; Guillin, Arnaud; Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations. J. Funct. Anal. 263 (2012), no. 8, 2430–2457.  Arxiv preprint arXiv:1110.3606, 2011 - arxiv.org


MR2921976 Pending Komorowski, Tomasz; Walczuk, Anna Central limit theorem for Markov processes with spectral gap in the Wasserstein metric. Stochastic Process. Appl. 122 (2012), no. 5, 2155–2184. 60J25 (60B12 60F05 60J35). Published: MAY 2012


MR2921215 Pending Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. J. Differential Equations 253 (2012), no. 2, 814–850. 35K35 (35A15)

Published: JUL 15 2012


MR2915328 Pending Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Calc. Var. Partial Differential Equations 44 (2012), no. 3-4, 419–454. 35Q84 (35B25 49S05 70F40 70G75). Published: JUL 2012


MR2901195 Pending Takatsu, Asuka Wasserstein geometry of porous medium equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 2, 217–232. 35K57 (28A75 35C06 46E27 60D05). Published: MAR-APR 2012


MR2900478 Pending Chodosh, Otis A lack of Ricci bounds for the entropic measure on Wasserstein space over the interval. J. Funct. Anal. 262 (2012), no. 10, 4570–4581. 53Cxx (58Dxx 60B05)


MR2887832 Reviewed Agueh, Martial Finsler structure in the p-Wasserstein space and gradient flows. C. R. Math. Acad. Sci. Paris 350 (2012), no. 1-2, 35–40. (Reviewer: Benoît Kloeckner) 49Q20 (53C60 58B20)/  Published: JAN 2012


MR2949240 Pending Kloeckner, Benoît A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserstein spaces. J. Topol. Anal. 4 (2012), no. 2, 203–235. 58Dxx (28A78 60B05)


MR3021775 Pending Bertrand, Jérôme; Kloeckner, Benoît A geometric study of Wasserstein spaces: Hadamard spaces. J. Topol. Anal. 4 (2012), no. 4, 515–542. 53C21 (28A33 49Q20)




Wasserstein in title from Math. Reviews 2013  12 items


MR3039437 Reviewed Schmitzer, Bernhard; Schnörr, Christoph Modelling convex shape priors and matching based on the Gromov-Wasserstein distance. J. Math. Imaging Vision 46 (2013), no. 1, 143–159. 68U10 (94A08)


MR3092749 Pending Takatsu, Asuka Behaviors of φ-exponential distributions in Wasserstein geometry and an evolution equation. SIAM J. Math. Anal. 45 (2013), no. 4, 2546–2556. 60E05 (60B05 60D99)


MR3048643 Prelim Agueh, Martial; Bowles, Malcolm; One-Dimensional Numerical Algorithms for Gradient Flows in the p-Wasserstein Spaces. Acta Appl. Math. 125 (2013), 121–134.


MR3044136 Pending Gigli, Nicola; Otto, Felix Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric. Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 181–206. 76S05 (35Q35 49Q20)


MR2983027 Prelim Lipman, Y.; Puente, J.; Daubechies, I.; Conformal Wasserstein distance: II. computational aspects and extensions. Math. Comp. 82 (2013), no. 281, 331–381.


MR3029241 Prelim Piccoli, Benedetto; Rossi, Francesco; Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes. Acta Appl. Math. 124 (2013), no. 1, 73–105.


MR3017033 Prelim Kim, Hwa Kil; Moreau–Yosida approximation and convergence of Hamiltonian systems on Wasserstein space. J. Differential Equations 254 (2013), no. 7, 2861–2876.


MR3092749 Prelim Takatsu, Asuka; Behaviors of φ-Exponential Distributions in Wasserstein Geometry and an Evolution Equation. SIAM J. Math. Anal. 45 (2013), no. 4, 2546–2556.


MR3091990 Prelim He, Daojiang; Xu, Xingzhong; Zhao, Jianxin; A new procedure for testing normality based on the L2 Wasserstein distance. J. Syst. Sci. Complex. 26 (2013), no. 4, 572–582.


MR3071256 Pending Agredo, Julián A Wasserstein-type distance to measure deviation from equilibrium of quantum Markov semigroups. Open Syst. Inf. Dyn. 20 (2013), no. 2, 1350009, 20 pp. 81R99 (46L35 47D07)


MR3024100 Pending Bassetti, Federico; Perversi, Eleonora Speed of convergence to equilibrium in Wasserstein metrics for Kac-like kinetic equations. Electron. J. Probab. 18 (2013), no. 6, 35 pp. 60B10 (60E07 60F05 82C40)


MR3189324 Pending Dedecker, Jérôme; Michel, Bertrand Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension. J. Multivariate Anal. 122 (2013), 278–291. 62G05 (62C20)



Wasserstein in title from Math. Reviews 2014  10 items



MR3248053 Prelim Carlen, Eric A.; Maas, Jan; An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy. Comm. Math. Phys. 331 (2014), no. 3, 887–926.



MR3189084 Prelim Boissard, Emmanuel; Le Gouic, Thibaut; On the mean speed of convergence of empirical and occupation measures in Wasserstein distance. Ann. Inst. Henri Poincaré Probab. Stat. 50 (2014), no. 2, 539–563.



MR3178490 Prelim Butkovsky, Oleg; Subgeometric rates of convergence of Markov processes in the Wasserstein metric. Ann. Appl. Probab. 24 (2014), no. 2, 526–552.



MR3206999 Pending Bourne, D. P.; Peletier, M. A.; Theil, F. Optimality of the triangular lattice for a particle system with Wasserstein interaction. Comm. Math. Phys. 329 (2014), no. 1, 117–140. 82D25 (82D60)



MR3192034 Pending Cavalletti, Fabio Decomposition of geodesics in the Wasserstein space and the globalization problem. Geom. Funct. Anal. 24 (2014), no. 2, 493–551. 53C23 (53C22)



MR3182620 Indexed Qiao, Motong; Wang, Wei; Ng, Michael Multi-phase texture segmentation using Gabor features histograms based on Wasserstein distance. Commun. Comput. Phys. 15 (2014), no. 5, 1480–1500. 94A08 (68U10)



MR3187785 Pending Engquist, Björn; Froese, Brittany D. Application of the Wasserstein metric to seismic signals. Commun. Math. Sci. 12 (2014), no. 5, 979–988. 86A15 (62P35 65K99 94A12)



MR3182483 Pending Piccoli, Benedetto; Rossi, Francesco Generalized Wasserstein distance and its application to transport equations with source. Arch. Ration. Mech. Anal. 211 (2014), no. 1, 335–358. 49Q20 (28Dxx 35F25)



MR3158572 Pending Gangbo, Wilfrid; Tudorascu, Adrian Weak KAM theory on the Wasserstein torus with multidimensional underlying space. Comm. Pure Appl. Math. 67 (2014), no. 3, 408–463. 58D19 (37J40)



MR3121635 Pending Savaré, Giuseppe Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,∞)

metric measure spaces. Discrete Contin. Dyn. Syst. 34 (2014), no. 4, 1641–1661. 49Q20






 

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154 items total 

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141 Wasserstein 

10 Vaserstein

1 Vasershtein

2 Vasserstein