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Alexander Kolesnikov
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引用次数
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年份
The Monge-Kantorovich problem: achievements, connections, and perspectives
VI Bogachev, AV Kolesnikov
Russian Mathematical Surveys 67 (5), 785, 2012
2392012
Triangular transformations of measures
VI Bogachev, AV Kolesnikov, KV Medvedev
Sbornik: Mathematics 196 (3), 309, 2005
1602005
Local -Brunn-Minkowski Inequalities for
AV Kolesnikov, E Milman
American Mathematical Society, 2022
992022
Mass transport and variants of the logarithmic Sobolev inequality
F Barthe, AV Kolesnikov
Journal of Geometric Analysis 18 (4), 921-979, 2008
852008
Brascamp–Lieb-type inequalities on weighted Riemannian manifolds with boundary
AV Kolesnikov, E Milman
The Journal of Geometric Analysis 27, 1680-1702, 2017
722017
Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures
AV Kolesnikov
Journal of Functional Analysis 230 (2), 382-418, 2006
532006
Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
AV Kolesnikov, E Milman
American Journal of Mathematics 140 (5), 1147-1185, 2018
452018
Convergence of Dirichlet forms with changing speed measures on ℝd
AV Kolesnikov
Walter de Gruyter 17 (2), 225-259, 2005
442005
Convexity inequalities and optimal transport of infinite-dimensional measures
AV Kolesnikov
Journal de mathématiques pures et appliquées 83 (11), 1373-1404, 2004
422004
On Sobolev regularity of mass transport and transportation inequalities
AV Kolesnikov
Theory of Probability & Its Applications 57 (2), 243-264, 2013
342013
On isoperimetric sets of radially symmetric measures
AV Kolesnikov, RI Zhdanov
Concentration, functional inequalities and isoperimetry 545, 123-154, 2011
332011
Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities
AV Kolesnikov, E Milman
Calculus of Variations and Partial Differential Equations 55 (4), 77, 2016
312016
On the -Brunn–Minkowski and Dimensional Brunn–Minkowski Conjectures for Log-Concave Measures
J Hosle, AV Kolesnikov, GV Livshyts
The Journal of Geometric Analysis 31 (6), 5799-5836, 2021
272021
Hessian metrics, CD (K, N)-spaces, and optimal transportation of log-concave measures
AV Kolesnikov
arXiv preprint arXiv:1201.2342, 2012
272012
On the Monge–Ampere equation in infinite dimensions
VI Bogachev, AV Kolesnikov
Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 (04 …, 2005
272005
On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
AV Kolesnikov, GV Livshyts
Advances in Mathematics 384, 107689, 2021
262021
Mass transportation and contractions
AV Kolesnikov
arXiv preprint arXiv:1103.1479, 2011
262011
On the local version of the Log-Brunn–Minkowski conjecture and some new related geometric inequalities
AV Kolesnikov, GV Livshyts
International Mathematics Research Notices 2022 (18), 14427-14453, 2022
232022
Open mappings of probability measures and the Skorokhod representation theorem
VI Bogachev, AV Kolesnikov
Theory of Probability & Its Applications 46 (1), 20-38, 2002
232002
Sobolev regularity for the Monge–Ampere equation in the Wiener space
VI Bogachev, AV Kolesnikov
212013
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