Sergey G. Bobkov

Applied Mathematics · 1999–2019

A researcher in the Science corpus: 18 papers; trusts 19 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 50 citations into it; #256 of 7,620 by trust here, #327 by citations
• Statistics and Probability — 21 citations into it; #2,315 of 12,932 by trust here, #2,629 by citations
• Mathematical Physics — 15 citations into it; #4,195 of 8,562 by trust here, #5,088 by citations
• Geometry and Topology — 12 citations into it; #3,089 of 7,422 by trust here, #2,832 by citations
• Computational Theory and Mathematics — 10 citations into it
• Electrical and Electronic Engineering — 8 citations into it
• Statistical and Nonlinear Physics — 8 citations into it
• Numerical Analysis — 7 citations into it; #778 of 3,586 by trust here, #1,007 by citations

Whom Sergey G. Bobkov trusts overall

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

1. Bo'az Klartag
2. V. Milman
3. Shiri Artstein-Avidan
4. Shiri Artstein-Avidan and Vitali Milman
5. Mokshay M. Madiman
6. Felix Otto
7. Robert J. McCann
8. Dario Cordero-Erausquin
9. Michel Ledoux
10. Amir Dembo

Who trusts Sergey G. Bobkov overall

1. Nathael Gozlan
2. Emanuel Milman
3. Bo'az Klartag
4. Patrick Cattiaux
5. Feng-Yu Wang
6. Arnaud Guillin
7. Franck Barthe
8. Cyril Roberto
9. Grigoris Paouris
10. Maxim Raginsky

Papers from Sergey G. Bobkov's perspective

Ordered by how strongly the researchers Sergey G. Bobkov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Existence and uniqueness of monotone measure-preserving maps
2. Topics in Optimal Transportation
3. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon
4. The Santalo point of a function, and a functional form of the Santalo inequality
5. Some Applications of Mass Transport to Gaussian-Type Inequalities
6. Brunn-Minkowski inequality
7. Hypercontractivity of Hamilton-Jacobi equations
8. Solution of Shannon's problem on the monotonicity of entropy
9. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
10. A Mathematical Theory of Communication

Their papers

• One-dimensional empirical measures, order statistics, and Kantorovich transport distances (2019) — 314 citations
• Concentration of the information in data with log-concave distributions (2010) — 87 citations
• Large deviations and isoperimetry over convex probability measures with heavy tails (2007) — 71 citations
• Weighted poincaré-type inequalities for cauchy and other convex measures (2009) — 127 citations
• Berry–Esseen bounds in the entropic central limit theorem (2011) — 72 citations
• On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis (2003) — 94 citations
• Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem (2011) — 84 citations
• Quermassintegrals of quasi-concave functions and generalized Prékopa–Leindler inequalities (2012) — 62 citations
• Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures (2011) — 96 citations
• Convex bodies and norms associated to convex measures (2010) — 58 citations
• On isoperimetric constants for log-concave probability distributions (2007) — 52 citations
• Modified Logarithmic Sobolev Inequalities in Discrete Settings (2006) — 202 citations
• Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures (2003) — 69 citations
• On the Central Limit Property of Convex Bodies (2003) — 68 citations
• On concentration of distributions of random weighted sums (2003) — 76 citations
• On Gaussian and Bernoulli covariance representations (2001) — 56 citations
• Hypercontractivity of Hamilton-Jacobi equations (2001) — 357 citations
• Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities (1999)