The Monge-Kantorovich problem: achievements, connections, and perspectives VI Bogachev, AV Kolesnikov Russian Mathematical Surveys 67 (5), 785, 2012 | 239 | 2012 |
Triangular transformations of measures VI Bogachev, AV Kolesnikov, KV Medvedev Sbornik: Mathematics 196 (3), 309, 2005 | 160 | 2005 |
Local -Brunn-Minkowski Inequalities for AV Kolesnikov, E Milman American Mathematical Society, 2022 | 99 | 2022 |
Mass transport and variants of the logarithmic Sobolev inequality F Barthe, AV Kolesnikov Journal of Geometric Analysis 18 (4), 921-979, 2008 | 85 | 2008 |
Brascamp–Lieb-type inequalities on weighted Riemannian manifolds with boundary AV Kolesnikov, E Milman The Journal of Geometric Analysis 27, 1680-1702, 2017 | 72 | 2017 |
Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures AV Kolesnikov Journal of Functional Analysis 230 (2), 382-418, 2006 | 53 | 2006 |
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 | 45 | 2018 |
Convergence of Dirichlet forms with changing speed measures on ℝd AV Kolesnikov Walter de Gruyter 17 (2), 225-259, 2005 | 44 | 2005 |
Convexity inequalities and optimal transport of infinite-dimensional measures AV Kolesnikov Journal de mathématiques pures et appliquées 83 (11), 1373-1404, 2004 | 42 | 2004 |
On Sobolev regularity of mass transport and transportation inequalities AV Kolesnikov Theory of Probability & Its Applications 57 (2), 243-264, 2013 | 34 | 2013 |
On isoperimetric sets of radially symmetric measures AV Kolesnikov, RI Zhdanov Concentration, functional inequalities and isoperimetry 545, 123-154, 2011 | 33 | 2011 |
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 | 31 | 2016 |
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 | 27 | 2021 |
Hessian metrics, CD (K, N)-spaces, and optimal transportation of log-concave measures AV Kolesnikov arXiv preprint arXiv:1201.2342, 2012 | 27 | 2012 |
On the Monge–Ampere equation in infinite dimensions VI Bogachev, AV Kolesnikov Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 (04 …, 2005 | 27 | 2005 |
On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type AV Kolesnikov, GV Livshyts Advances in Mathematics 384, 107689, 2021 | 26 | 2021 |
Mass transportation and contractions AV Kolesnikov arXiv preprint arXiv:1103.1479, 2011 | 26 | 2011 |
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 | 23 | 2022 |
Open mappings of probability measures and the Skorokhod representation theorem VI Bogachev, AV Kolesnikov Theory of Probability & Its Applications 46 (1), 20-38, 2002 | 23 | 2002 |
Sobolev regularity for the Monge–Ampere equation in the Wiener space VI Bogachev, AV Kolesnikov | 21 | 2013 |