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This article is cited in 11 scientific papers (total in 11 papers)
Sobolev regularity of transportation of probability measures and transportation inequalities
A. V. Kolesnikov
Moscow State Institute of Electronics and Mathematics — Higher School of Economics
DOI:
https://doi.org/10.4213/tvp4448
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Theory of Probability and its Applications, 2013, 57:2, 243–264
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Received: 19.10.2011
Citation:
A. V. Kolesnikov, “Sobolev regularity of transportation of probability measures and transportation inequalities”, Teor. Veroyatnost. i Primenen., 57:2 (2012), 296–321; Theory Probab. Appl., 57:2 (2013), 243–264
Citation in format AMSBIB
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This publication is cited in the following articles:
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V. I. Bogachev, A. V. Kolesnikov, “The Monge–Kantorovich problem: achievements, connections, and perspectives”, Russian Math. Surveys, 67:5 (2012), 785–890
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A. V. Kolesnikov, “Hessian metrics, $CD(K,N)$-spaces, and optimal transportation of log-concave measures”, Discrete Contin. Dyn. Syst., 34:4 (2014), 1511–1532
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A. V. Kolesnikov, M. Röckner, “On continuity equations in infinite dimensions with non-Gaussian reference measure”, J. Funct. Anal., 266:7 (2014), 4490–4537
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A. V. Kolesnikov, S. Yu. Tikhonov, “Regularity of the Monge-Ampère equation in Besov's spaces”, Calc. Var. Partial Differential Equations, 49:3-4 (2014), 1187–1197
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B. B. Klartag, A. V. Kolesnikov, “Eigenvalue distribution of optimal transportation”, Anal. PDE, 8:1 (2015), 33–55
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Alexander V. Kolesnikov, Danila A. Zaev, “Exchangeable optimal transportation and log-concavity”, Theory Stoch. Process., 20(36):2 (2015), 54–62
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A. V. Kolesnikov, E. Milman, “Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities”, Calc. Var. Partial Differ. Equ., 55:4 (2016), 77
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B. Klartag, A. V. Kolesnikov, “Remarks on curvature in the transportation metric”, Anal. Math., 43:1 (2017), 67–88
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M. Colombo, A. Figalli, Ya. Jhaveri, “Lipschitz changes of variables between perturbations of log-concave measures”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 17:4 (2017), 1491–1519
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A. V. Kolesnikov, D. A. Zaev, “Optimal transportation of processes with infinite Kantorovich distance: independence and symmetry”, Kyoto J. Math., 57:2 (2017), 293–324
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Alexander V. Kolesnikov, Egor D. Kosov, “Moment measures and stability for Gaussian inequalities”, Theory Stoch. Process., 22(38):2 (2017), 47–61
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