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Sergey Bobkov
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Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
SG Bobkov, F Götze
Journal of Functional Analysis 163 (1), 1-28, 1999
6621999
Hypercontractivity of Hamilton–Jacobi equations
SG Bobkov, I Gentil, M Ledoux
Journal de Mathématiques Pures et Appliquées 80 (7), 669-696, 2001
3552001
Isoperimetric and analytic inequalities for log-concave probability measures
SG Bobkov
The Annals of Probability 27 (4), 1903-1921, 1999
2881999
From brunn-minkowski to brascamp-lieb and to logarithmic sobolev inequalities
SG Bobkov, M Ledoux
Geometric and Functional Analysis 10, 1028-1052, 2000
2872000
One-dimensional empirical measures, order statistics, and Kantorovich transport distances
S Bobkov, M Ledoux
American Mathematical Society 261 (1259), 2019
2742019
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
2001997
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
1901997
Modified logarithmic Sobolev inequalities in discrete settings
SG Bobkov, P Tetali
Journal of Theoretical Probability 19, 289-336, 2006
1832006
Some connections between isoperimetric and Sobolev-type inequalities
SG Bobkov, C Houdré
American Mathematical Soc., 1997
1711997
Isoperimetric constants for product probability measures
SG Bobkov, C Houdré
The Annals of Probability, 184-205, 1997
1411997
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
SG Bobkov, M Ledoux
Journal of functional analysis 156 (2), 347-365, 1998
1351998
Weighted Poincaré-type inequalities for Cauchy and other convex measures
SG Bobkov, M Ledoux
1182009
Extremal properties of half-spaces for log-concave distributions
S Bobkov
The Annals of Probability 24 (1), 35-48, 1996
1131996
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
1062003
Entropy bounds and isoperimetry
SG Bobkov, B Zegarlinski
American Mathematical Soc., 2005
972005
Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures
S Bobkov, M Madiman
Journal of Functional Analysis 262 (7), 3309-3339, 2012
962012
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
962011
Concentration of the information in data with log-concave distributions
S Bobkov, M Madiman
862011
On the central limit property of convex bodies
SG Bobkov, A Koldobsky
Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002, 44-52, 2003
832003
On concentration of distributions of random weighted sums
SG Bobkov
Annals of probability, 195-215, 2003
822003
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