A. V. Kolesnikov

Applied Mathematics · 2005–2017

A researcher in the Science corpus: 7 papers; trusts 62 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 157 citations into it; #1,348 of 7,620 by trust here, #1,177 by citations
• Geometry and Topology — 60 citations into it; #2,705 of 7,422 by trust here, #2,832 by citations
• Mathematical Physics — 23 citations into it; #3,461 of 8,562 by trust here, #3,828 by citations
• Statistics and Probability — 21 citations into it
• Computational Theory and Mathematics — 19 citations into it; #10,222 of 12,182 by trust here, #11,462 by citations
• Astronomy and Astrophysics — 18 citations into it
• Numerical Analysis — 12 citations into it
• Statistical and Nonlinear Physics — 8 citations into it

Whom A. V. Kolesnikov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Emanuel Milman
2. Dario Cordero-Erausquin
3. Shin-ichi Ohta
4. Bo'az Klartag
5. Robert J. McCann
6. Cédric Villani
7. J. Lott
8. Franck Barthe
9. Alessio Figalli
10. V. V. Buldygin

Who trusts A. V. Kolesnikov overall

1. Emanuel Milman
2. Kolesnikov Alexander
3. Milman Emanuel
4. Andreas J. Winter
5. Zoltán M. Balogh
6. S. Andres
7. Alexandros Eskenazis
8. Filippo Santambrogio
9. Peng Xu
10. Joaquim Martín

Papers from A. V. Kolesnikov's perspective

Ordered by how strongly the researchers A. V. Kolesnikov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Topics in Optimal Transportation
2. Brunn-Minkowski inequality
3. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
4. Transport inequalities, gradient estimates, entropy and Ricci curvature
5. A Convexity Principle for Interacting Gases
6. Existence and uniqueness of monotone measure-preserving maps
7. Some Applications of Mass Transport to Gaussian-Type Inequalities
8. Ricci curvature for metric-measure spaces via optimal transport
9. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
10. The logarithmic Minkowski problem

Their papers

• Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures (2006) — 51 citations
• Local $L^p$-Brunn-Minkowski inequalities for $p<1$ (2017) — 94 citations
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds (2017) — 54 citations
• Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary (2013) — 81 citations
• The Monge-Kantorovich problem: achievements, connections, and perspectives (2012) — 223 citations
• Mass Transport and Variants of the Logarithmic Sobolev Inequality (2007) — 75 citations
• Triangular transformations of measures (2005) — 139 citations