Exponential integrability and transportation cost related to logarithmic Sobolev inequalities SG Bobkov, F Götze Journal of Functional Analysis 163 (1), 1-28, 1999 | 669 | 1999 |
Hypercontractivity of Hamilton–Jacobi equations SG Bobkov, I Gentil, M Ledoux Journal de Mathématiques Pures et Appliquées 80 (7), 669-696, 2001 | 358 | 2001 |
Isoperimetric and analytic inequalities for log-concave probability measures SG Bobkov The Annals of Probability 27 (4), 1903-1921, 1999 | 294 | 1999 |
From brunn-minkowski to brascamp-lieb and to logarithmic sobolev inequalities SG Bobkov, M Ledoux Geometric and Functional Analysis 10, 1028-1052, 2000 | 290 | 2000 |
One-dimensional empirical measures, order statistics, and Kantorovich transport distances S Bobkov, M Ledoux American Mathematical Society 261 (1259), 2019 | 288 | 2019 |
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution S Bobkov, M Ledoux Probability Theory and Related Fields 107, 383-400, 1997 | 202 | 1997 |
An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space SG Bobkov The Annals of Probability 25 (1), 206-214, 1997 | 191 | 1997 |
Modified logarithmic Sobolev inequalities in discrete settings SG Bobkov, P Tetali Journal of Theoretical Probability 19, 289-336, 2006 | 186 | 2006 |
Some connections between isoperimetric and Sobolev-type inequalities SG Bobkov, C Houdré American Mathematical Soc., 1997 | 171 | 1997 |
Isoperimetric constants for product probability measures SG Bobkov, C Houdré The Annals of Probability, 184-205, 1997 | 145 | 1997 |
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures SG Bobkov, M Ledoux Journal of functional analysis 156 (2), 347-365, 1998 | 136 | 1998 |
Weighted Poincaré-type inequalities for Cauchy and other convex measures SG Bobkov, M Ledoux | 121 | 2009 |
Extremal properties of half-spaces for log-concave distributions S Bobkov The Annals of Probability 24 (1), 35-48, 1996 | 114 | 1996 |
On convex bodies and log-concave probability measures with unconditional basis SG Bobkov, FL Nazarov Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002, 53-69, 2003 | 106 | 2003 |
Entropy bounds and isoperimetry SG Bobkov, B Zegarlinski American Mathematical Soc., 2005 | 99 | 2005 |
Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures S Bobkov, M Madiman Journal of Functional Analysis 262 (7), 3309-3339, 2012 | 98 | 2012 |
The entropy per coordinate of a random vector is highly constrained under convexity conditions S Bobkov, M Madiman IEEE Transactions on Information Theory 57 (8), 4940-4954, 2011 | 97 | 2011 |
Concentration of the information in data with log-concave distributions S Bobkov, M Madiman | 89 | 2011 |
On the central limit property of convex bodies SG Bobkov, A Koldobsky Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002, 44-52, 2003 | 84 | 2003 |
On concentration of distributions of random weighted sums SG Bobkov Annals of probability, 195-215, 2003 | 82 | 2003 |