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Bobkov, Sergey Germanovich

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Author ID: bobkov.sergey-g Recent zbMATH articles by "Bobkov, Sergey Germanovich"
Published as: Bobkov, S. G.; Bobkov, Sergey G.; Bobkov, Sergey; Bobkov, S.; Bobkov, Serguei G.; Bobkov, Sergei G.
Homepage: http://www-users.math.umn.edu/~bobko001/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 137 Publications since 1982, including 3 Books
all top 5

Serials

14 Journal of Mathematical Sciences (New York)
13 The Annals of Probability
7 Theory of Probability and its Applications
7 Probability Theory and Related Fields
7 Journal of Theoretical Probability
5 IEEE Transactions on Information Theory
5 Journal of Functional Analysis
5 Bernoulli
4 Journal of Soviet Mathematics
3 Memoirs of the American Mathematical Society
3 Statistics & Probability Letters
3 Electronic Journal of Probability
3 Electronic Communications in Probability
3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Zapiski Nauchnykh Seminarov POMI
2 Mathematical Methods of Statistics
2 Communications in Contemporary Mathematics
2 Vestnik Syktyvkarskogo Universiteta. Seriya 1. Matematika, Mekhanika, Informatika
1 Israel Journal of Mathematics
1 Lithuanian Mathematical Journal
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 The Annals of Statistics
1 Manuscripta Mathematica
1 Proceedings of the American Mathematical Society
1 Combinatorica
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Stochastic Processes and their Applications
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Markov Processes and Related Fields
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Probability Surveys

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 1,485 times in 826 Documents Cited by Year
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. Zbl 0924.46027
Bobkov, S. G.; Götze, F.
200
1999
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel
143
2001
Isoperimetric and analytic inequalities for log-concave probability measures. Zbl 0964.60013
Bobkov, S. G.
71
1999
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
69
2000
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
55
1997
Modified logarithmic Sobolev inequalities in discrete settings. Zbl 1113.60072
Bobkov, Sergey G.; Tetali, Prasad
43
2006
Isoperimetric constants for product probability measures. Zbl 0878.60013
Bobkov, S. G.; Houdré, C.
43
1997
Some connections between isoperimetric and Sobolev-type inequalities. Zbl 0886.49033
Bobkov, Serguei G.; Houdré, Christian
41
1997
Extremal properties of half-spaces for log-concave distributions. Zbl 0859.60048
Bobkov, S.
39
1996
An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space. Zbl 0883.60031
Bobkov, S. G.
34
1997
Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041
Bobkov, Sergey G.; Ledoux, Michel
31
2009
Entropy bounds and isoperimetry. Zbl 1161.46300
Bobkov, S. G.; Zegarlinski, B.
31
2005
On convex bodies and log-concave probability measures with unconditional basis. Zbl 1039.52004
Bobkov, S. G.; Nazarov, F. L.
30
2003
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002
Bobkov, S. G.; Ledoux, M.
28
1998
On concentration of distributions of random weighted sums. Zbl 1015.60019
Bobkov, S. G.
26
2003
Spectral gap and concentration for some spherically symmetric probability measures. Zbl 1052.60003
Bobkov, S. G.
24
2003
On the central limit property of convex bodies. Zbl 1039.52003
Bobkov, S. G.; Koldobsky, A.
22
2003
Bounds on the deficit in the logarithmic Sobolev inequality. Zbl 1301.26018
Bobkov, S. G.; Gozlan, N.; Roberto, C.; Samson, P.-M.
21
2014
Large deviations and isoperimetry over convex probability measures with heavy tails. Zbl 1148.60011
Bobkov, Sergey G.
21
2007
From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036
Bobkov, S. G.; Ledoux, M.
19
2008
Discrete isoperimetric and Poincaré-type inequalities. Zbl 0940.60028
Bobkov, S. G.; Götze, F.
18
1999
Concentration of the information in data with log-concave distributions. Zbl 1227.60043
Bobkov, Sergey; Madiman, Mokshay
18
2011
Concentration inequalities and limit theorems for randomized sums. Zbl 1111.60014
Bobkov, Sergey G.; Götze, Friedrich
16
2007
Large deviations of typical linear functionals on a convex body with conditional basis. Zbl 1044.52003
Bobkov, Sergey G.; Nazarov, Fedor L.
16
2003
Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures. Zbl 1246.52012
Bobkov, Sergey; Madiman, Mokshay
16
2012
One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007
Bobkov, Sergey; Ledoux, Michel
15
2019
Convex bodies and norms associated to convex measures. Zbl 1247.46011
Bobkov, Sergey G.
15
2010
Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
14
2014
The entropy per coordinate of a random vector is highly constrained under convexity conditions. Zbl 1365.94135
Bobkov, Sergey; Madiman, Mokshay
13
2011
Remarks on the growth of \(L^p\)-norms of polynomials. Zbl 0976.46005
Bobkov, S. G.
13
2000
On Gaussian and Bernoulli covariance representations. Zbl 1053.60019
Bobkov, Sergey G.; Götze, Friedrich; Houdré, Christian
13
2001
Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities. Zbl 1290.26019
Bobkov, S. G.; Colesanti, A.; Fragalà, I.
13
2014
A functional form of the isoperimetric inequality for the Gaussian measure. Zbl 0838.60013
Bobkov, S.
12
1996
The sub-Gaussian constant and concentration inequalities. Zbl 1134.60016
Bobkov, S. G.; Houdré, C.; Tetali, P.
12
2006
Fisher information and the central limit theorem. Zbl 1372.60018
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
12
2014
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
12
2013
On isoperimetric constants for log-concave probability distributions. Zbl 1132.60301
Bobkov, S. G.
11
2007
On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
11
2010
Proximity of probability distributions in terms of Fourier-Stieltjes transforms. Zbl 1387.60019
Bobkov, S. G.
9
2016
Modified log-Sobolev inequalities, mixing and hypercontractivity. Zbl 1192.60020
Bobkov, Sergey; Tetali, Prasad
9
2003
Concentration of normalized sums and a central limit theorem for noncorrelated random variables. Zbl 1065.60006
Bobkov, Sergey G.
8
2004
On the problem of reversibility of the entropy power inequality. Zbl 1304.60029
Bobkov, Sergey G.; Madiman, Mokshay M.
8
2013
Converse Poincaré-type inequalities for convex functions. Zbl 0894.60021
Bobkov, S. G.; Houdré, C.
7
1997
Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances. Zbl 1414.60011
Bobkov, Sergey G.
7
2018
Second-order concentration on the sphere. Zbl 1373.60043
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
6
2017
Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2012
\(\lambda_{\infty}\), vertex isoperimetry and concentration. Zbl 0964.60002
Bobkov, S.; Houdré, C.; Tetali, P.
6
2000
Concentration of distributions of the weighted sums with Bernoullian coefficients. Zbl 1033.60022
Bobkov, S. G.
6
2003
Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications. Zbl 1033.60012
Bobkov, S. G.
6
2002
Dimensional behaviour of entropy and information. Zbl 1206.94014
Bobkov, Sergey; Madiman, Mokshay
6
2011
Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2011
Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders. Zbl 1378.60043
Bobkov, Sergey G.
5
2017
Fisher information and convergence to stable laws. Zbl 1315.60031
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
5
2014
Weak dimension-free concentration of measure. Zbl 0965.60007
Bobkov, Sergey G.; Houdré, Christian
5
2000
Isoperimetric problem for uniform enlargement. Zbl 0873.60003
Bobkov, S. G.
5
1997
Some extremal properties of the Bernoulli distribution. Zbl 0895.60012
Bobkov, S. G.
5
1996
Generalized symmetric polynomials and an approximate de Finetti representation. Zbl 1079.28001
Bobkov, Sergey G.
5
2005
On concentration functions of random variables. Zbl 1339.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.
5
2015
Some generalizations of Prokhorov’s results on Khinchin-type inequalities for polynomials. Zbl 0990.60014
Bobkov, S. G.
5
2000
Remarks on the Gromov-Milman inequality. Zbl 0981.60008
Bobkov, S. G.
5
1999
Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
5
2012
Fractional generalizations of Young and Brunn-Minkowski inequalities. Zbl 1235.46033
Bobkov, Sergey; Madiman, Mokshay; Wang, Liyao
5
2011
Entropic approach to E. Rio’s central limit theorem for \(W_2\) transport distance. Zbl 1281.60023
Bobkov, Sergey G.
5
2013
Isoperimetric inequalities for distributions of exponential type. Zbl 0808.60023
Bobkov, S. G.
4
1994
Entropy power inequality for the Rényi entropy. Zbl 1359.94300
Bobkov, Sergey G.; Chistyakov, Gennadiy P.
4
2015
Large deviations via transference plans. Zbl 1072.60016
Bobkov, Sergey G.
4
2003
On the Gross and Talagrand inequalities on the discrete cube. Zbl 1011.60500
Bobkov, S. G.
4
1995
Concentration of empirical distribution functions with applications to non-i.i.d. models. Zbl 1207.62106
Bobkov, S. G.; Götze, F.
4
2010
Gaussian concentration for a class of spherically invariant measures. Zbl 1286.60016
Bobkov, S. G.
4
2010
Sharp dilation-type inequalities with a fixed parameter of convexity. Zbl 1288.28002
Bobkov, S. G.; Nazarov, F. L.
4
2008
Non-uniform bounds in local limit theorems in case of fractional moments. II. Zbl 1307.60010
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2011
The size of singular component and shift inequalities. Zbl 0946.60008
Bobkov, S. G.
3
1999
A converse Gaussian Poincaré-type inequality for convex functions. Zbl 0941.60038
Bobkov, S. G.; Houdré, C.
3
1999
Berry-Esseen bounds for typical weighted sums. Zbl 1414.60012
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2018
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500
Bobkov, S. G.; Gentil, I.; Ledoux, M.
3
2002
On the central limit theorem along subsequences of noncorrelated observations. Zbl 1063.60023
Bobkov, S. G.; Götze, F.
3
2003
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
3
2009
Stability problems in Cramér-type characterization in case of i.i.d. summands. Zbl 1303.60015
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
On Milman’s ellipsoids and \(M\)-position of convex bodies. Zbl 1232.52004
Bobkov, Sergey G.
3
2011
Convergence to stable laws in relative entropy. Zbl 1288.60055
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
Perturbations in the Gaussian isoperimetric inequality. Zbl 1301.60020
Bobkov, S. G.
2
2010
Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046
Bobkov, Sergey G.; Ledoux, Michel
2
2020
Bounds on the maximum of the density for sums of independent random variables. Zbl 1320.60054
Bobkov, S. G.; Chistyakov, G. P.
2
2014
Optimal transport and Rényi informational divergence. Zbl 1320.60055
Bobkov, Sergey G.; Ding, Ying
2
2015
Variance of Lipschitz functions and an isoperimetric problem for a class of product measures. Zbl 0866.60007
Bobkov, Sergei G.; Houdré, Christian
2
1996
Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319
Bobkov, Sergey; Götze, Friedrich
2
2009
The entropic Erdős-Kac limit theorem. Zbl 1335.60018
Bobkov, S. G.; Chistyakov, G. P.; Kösters, H.
2
2015
Higher order concentration of measure. Zbl 1447.60049
Bobkov, Sergey G.; Götze, Friedrich; Sambale, Holger
2
2019
Variants of the entropy power inequality. Zbl 1390.94613
Bobkov, Sergey G.; Marsiglietti, Arnaud
2
2017
Upper functions and oscillating Gaussian processes. Zbl 0666.60041
Bobkov, S. G.
2
1988
Characterization of Gaussian measures by the isoperimetric property of half-spaces. Zbl 0924.60009
Bobkov, S. G.; Houdré, C.
2
1996
Distributions with slow tails and ergodicity of Markov semigroups in infinite dimensions. Zbl 1200.60020
Bobkov, Sergey; Zegarlinski, Boguslaw
2
2010
Concentration properties of restricted measures with applications to non-Lipschitz functions. Zbl 1366.60052
Bobkov, Sergey G.; Nayar, Piotr; Tetali, Prasad
1
2017
Localization for infinite-dimensional hyperbolic measures. Zbl 1370.46024
Bobkov, S. G.; Melbourne, J.
1
2015
Non-uniform bounds in the Poisson approximation with applications to informational distances. I. Zbl 1432.62034
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2019
Asymptotic behavior of Rényi entropy in the central limit theorem. Zbl 1443.60030
Bobkov, Sergey G.; Marsiglietti, Arnaud
1
2019
The isoperimetric problem on the real line. Zbl 0868.60014
Bobkov, S. G.
1
1994
A remark on the surface Brunn-Minkowski-type inequality. Zbl 1165.52008
Bobkov, S. G.
1
2007
Estimates for moments of general measures on convex bodies. Zbl 1398.52005
Bobkov, Sergey; Klartag, Bo’az; Koldobsky, Alexander
1
2018
Regularized distributions and entropic stability of Cramer’s characterization of the normal law. Zbl 1387.60020
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2016
Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046
Bobkov, Sergey G.; Ledoux, Michel
2
2020
One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007
Bobkov, Sergey; Ledoux, Michel
15
2019
Higher order concentration of measure. Zbl 1447.60049
Bobkov, Sergey G.; Götze, Friedrich; Sambale, Holger
2
2019
Non-uniform bounds in the Poisson approximation with applications to informational distances. I. Zbl 1432.62034
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2019
Asymptotic behavior of Rényi entropy in the central limit theorem. Zbl 1443.60030
Bobkov, Sergey G.; Marsiglietti, Arnaud
1
2019
Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances. Zbl 1414.60011
Bobkov, Sergey G.
7
2018
Berry-Esseen bounds for typical weighted sums. Zbl 1414.60012
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2018
Estimates for moments of general measures on convex bodies. Zbl 1398.52005
Bobkov, Sergey; Klartag, Bo’az; Koldobsky, Alexander
1
2018
Second-order concentration on the sphere. Zbl 1373.60043
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
6
2017
Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders. Zbl 1378.60043
Bobkov, Sergey G.
5
2017
Variants of the entropy power inequality. Zbl 1390.94613
Bobkov, Sergey G.; Marsiglietti, Arnaud
2
2017
Concentration properties of restricted measures with applications to non-Lipschitz functions. Zbl 1366.60052
Bobkov, Sergey G.; Nayar, Piotr; Tetali, Prasad
1
2017
Proximity of probability distributions in terms of Fourier-Stieltjes transforms. Zbl 1387.60019
Bobkov, S. G.
9
2016
Regularized distributions and entropic stability of Cramer’s characterization of the normal law. Zbl 1387.60020
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2016
On concentration functions of random variables. Zbl 1339.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.
5
2015
Entropy power inequality for the Rényi entropy. Zbl 1359.94300
Bobkov, Sergey G.; Chistyakov, Gennadiy P.
4
2015
Optimal transport and Rényi informational divergence. Zbl 1320.60055
Bobkov, Sergey G.; Ding, Ying
2
2015
The entropic Erdős-Kac limit theorem. Zbl 1335.60018
Bobkov, S. G.; Chistyakov, G. P.; Kösters, H.
2
2015
Localization for infinite-dimensional hyperbolic measures. Zbl 1370.46024
Bobkov, S. G.; Melbourne, J.
1
2015
Bounds on the deficit in the logarithmic Sobolev inequality. Zbl 1301.26018
Bobkov, S. G.; Gozlan, N.; Roberto, C.; Samson, P.-M.
21
2014
Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
14
2014
Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities. Zbl 1290.26019
Bobkov, S. G.; Colesanti, A.; Fragalà, I.
13
2014
Fisher information and the central limit theorem. Zbl 1372.60018
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
12
2014
Fisher information and convergence to stable laws. Zbl 1315.60031
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
5
2014
Bounds on the maximum of the density for sums of independent random variables. Zbl 1320.60054
Bobkov, S. G.; Chistyakov, G. P.
2
2014
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
12
2013
On the problem of reversibility of the entropy power inequality. Zbl 1304.60029
Bobkov, Sergey G.; Madiman, Mokshay M.
8
2013
Entropic approach to E. Rio’s central limit theorem for \(W_2\) transport distance. Zbl 1281.60023
Bobkov, Sergey G.
5
2013
Stability problems in Cramér-type characterization in case of i.i.d. summands. Zbl 1303.60015
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
Convergence to stable laws in relative entropy. Zbl 1288.60055
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures. Zbl 1246.52012
Bobkov, Sergey; Madiman, Mokshay
16
2012
Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2012
Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
5
2012
Concentration of the information in data with log-concave distributions. Zbl 1227.60043
Bobkov, Sergey; Madiman, Mokshay
18
2011
The entropy per coordinate of a random vector is highly constrained under convexity conditions. Zbl 1365.94135
Bobkov, Sergey; Madiman, Mokshay
13
2011
Dimensional behaviour of entropy and information. Zbl 1206.94014
Bobkov, Sergey; Madiman, Mokshay
6
2011
Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2011
Fractional generalizations of Young and Brunn-Minkowski inequalities. Zbl 1235.46033
Bobkov, Sergey; Madiman, Mokshay; Wang, Liyao
5
2011
Non-uniform bounds in local limit theorems in case of fractional moments. II. Zbl 1307.60010
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2011
On Milman’s ellipsoids and \(M\)-position of convex bodies. Zbl 1232.52004
Bobkov, Sergey G.
3
2011
Convex bodies and norms associated to convex measures. Zbl 1247.46011
Bobkov, Sergey G.
15
2010
On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
11
2010
Concentration of empirical distribution functions with applications to non-i.i.d. models. Zbl 1207.62106
Bobkov, S. G.; Götze, F.
4
2010
Gaussian concentration for a class of spherically invariant measures. Zbl 1286.60016
Bobkov, S. G.
4
2010
Perturbations in the Gaussian isoperimetric inequality. Zbl 1301.60020
Bobkov, S. G.
2
2010
Distributions with slow tails and ergodicity of Markov semigroups in infinite dimensions. Zbl 1200.60020
Bobkov, Sergey; Zegarlinski, Boguslaw
2
2010
On a theorem of V. N. Sudakov on typical distributions. Zbl 1288.60015
Bobkov, S. G.
1
2010
Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041
Bobkov, Sergey G.; Ledoux, Michel
31
2009
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
3
2009
Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319
Bobkov, Sergey; Götze, Friedrich
2
2009
On concentration of high-dimensional matrices with randomly signed entries. Zbl 1288.60004
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
1
2009
From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036
Bobkov, S. G.; Ledoux, M.
19
2008
Sharp dilation-type inequalities with a fixed parameter of convexity. Zbl 1288.28002
Bobkov, S. G.; Nazarov, F. L.
4
2008
A note on the distributions of the maximum of linear Bernoulli processes. Zbl 1189.60106
Bobkov, Sergey G.
1
2008
Large deviations and isoperimetry over convex probability measures with heavy tails. Zbl 1148.60011
Bobkov, Sergey G.
21
2007
Concentration inequalities and limit theorems for randomized sums. Zbl 1111.60014
Bobkov, Sergey G.; Götze, Friedrich
16
2007
On isoperimetric constants for log-concave probability distributions. Zbl 1132.60301
Bobkov, S. G.
11
2007
A remark on the surface Brunn-Minkowski-type inequality. Zbl 1165.52008
Bobkov, S. G.
1
2007
Modified logarithmic Sobolev inequalities in discrete settings. Zbl 1113.60072
Bobkov, Sergey G.; Tetali, Prasad
43
2006
The sub-Gaussian constant and concentration inequalities. Zbl 1134.60016
Bobkov, S. G.; Houdré, C.; Tetali, P.
12
2006
Entropy bounds and isoperimetry. Zbl 1161.46300
Bobkov, S. G.; Zegarlinski, B.
31
2005
Generalized symmetric polynomials and an approximate de Finetti representation. Zbl 1079.28001
Bobkov, Sergey G.
5
2005
Concentration of normalized sums and a central limit theorem for noncorrelated random variables. Zbl 1065.60006
Bobkov, Sergey G.
8
2004
On convex bodies and log-concave probability measures with unconditional basis. Zbl 1039.52004
Bobkov, S. G.; Nazarov, F. L.
30
2003
On concentration of distributions of random weighted sums. Zbl 1015.60019
Bobkov, S. G.
26
2003
Spectral gap and concentration for some spherically symmetric probability measures. Zbl 1052.60003
Bobkov, S. G.
24
2003
On the central limit property of convex bodies. Zbl 1039.52003
Bobkov, S. G.; Koldobsky, A.
22
2003
Large deviations of typical linear functionals on a convex body with conditional basis. Zbl 1044.52003
Bobkov, Sergey G.; Nazarov, Fedor L.
16
2003
Modified log-Sobolev inequalities, mixing and hypercontractivity. Zbl 1192.60020
Bobkov, Sergey; Tetali, Prasad
9
2003
Concentration of distributions of the weighted sums with Bernoullian coefficients. Zbl 1033.60022
Bobkov, S. G.
6
2003
Large deviations via transference plans. Zbl 1072.60016
Bobkov, Sergey G.
4
2003
On the central limit theorem along subsequences of noncorrelated observations. Zbl 1063.60023
Bobkov, S. G.; Götze, F.
3
2003
Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications. Zbl 1033.60012
Bobkov, S. G.
6
2002
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500
Bobkov, S. G.; Gentil, I.; Ledoux, M.
3
2002
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel
143
2001
On Gaussian and Bernoulli covariance representations. Zbl 1053.60019
Bobkov, Sergey G.; Götze, Friedrich; Houdré, Christian
13
2001
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
69
2000
Remarks on the growth of \(L^p\)-norms of polynomials. Zbl 0976.46005
Bobkov, S. G.
13
2000
\(\lambda_{\infty}\), vertex isoperimetry and concentration. Zbl 0964.60002
Bobkov, S.; Houdré, C.; Tetali, P.
6
2000
Weak dimension-free concentration of measure. Zbl 0965.60007
Bobkov, Sergey G.; Houdré, Christian
5
2000
Some generalizations of Prokhorov’s results on Khinchin-type inequalities for polynomials. Zbl 0990.60014
Bobkov, S. G.
5
2000
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. Zbl 0924.46027
Bobkov, S. G.; Götze, F.
200
1999
Isoperimetric and analytic inequalities for log-concave probability measures. Zbl 0964.60013
Bobkov, S. G.
71
1999
Discrete isoperimetric and Poincaré-type inequalities. Zbl 0940.60028
Bobkov, S. G.; Götze, F.
18
1999
Remarks on the Gromov-Milman inequality. Zbl 0981.60008
Bobkov, S. G.
5
1999
The size of singular component and shift inequalities. Zbl 0946.60008
Bobkov, S. G.
3
1999
A converse Gaussian Poincaré-type inequality for convex functions. Zbl 0941.60038
Bobkov, S. G.; Houdré, C.
3
1999
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002
Bobkov, S. G.; Ledoux, M.
28
1998
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
55
1997
Isoperimetric constants for product probability measures. Zbl 0878.60013
Bobkov, S. G.; Houdré, C.
43
1997
Some connections between isoperimetric and Sobolev-type inequalities. Zbl 0886.49033
Bobkov, Serguei G.; Houdré, Christian
41
1997
An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space. Zbl 0883.60031
Bobkov, S. G.
34
1997
Converse Poincaré-type inequalities for convex functions. Zbl 0894.60021
Bobkov, S. G.; Houdré, C.
7
1997
Isoperimetric problem for uniform enlargement. Zbl 0873.60003
Bobkov, S. G.
5
1997
Extremal properties of half-spaces for log-concave distributions. Zbl 0859.60048
Bobkov, S.
39
1996
A functional form of the isoperimetric inequality for the Gaussian measure. Zbl 0838.60013
Bobkov, S.
12
1996
Some extremal properties of the Bernoulli distribution. Zbl 0895.60012
Bobkov, S. G.
5
1996
Variance of Lipschitz functions and an isoperimetric problem for a class of product measures. Zbl 0866.60007
Bobkov, Sergei G.; Houdré, Christian
2
1996
Characterization of Gaussian measures by the isoperimetric property of half-spaces. Zbl 0924.60009
Bobkov, S. G.; Houdré, C.
2
1996
On the Gross and Talagrand inequalities on the discrete cube. Zbl 1011.60500
Bobkov, S. G.
4
1995
...and 4 more Documents
all top 5

Cited by 768 Authors

64 Bobkov, Sergey Germanovich
27 Götze, Friedrich W.
27 Wang, Feng-Yu
20 Milman, Emanuel
18 Guillin, Arnaud
17 Chistyakov, Gennadiy P.
16 Gozlan, Nathael
16 Roberto, Cyril
15 Barthe, Franck
15 Wu, Liming
14 Gentil, Ivan
14 Ledoux, Michel
12 Ma, Yutao
12 Madiman, Mokshay M.
12 Paouris, Grigoris
11 Cattiaux, Patrick
11 Fathi, Max
11 Klartag, Bo’az
11 Tetali, Prasad
10 Bolley, François
10 Kolesnikov, Alexander V.
10 Samson, Paul-Marie
10 Zegarlinski, Boguslaw
9 Houdré, Christian
9 Shao, Jinghai
8 Alonso-Gutiérrez, David
8 Chafaï, Djalil
8 Fradelizi, Matthieu
8 Marsiglietti, Arnaud
8 Martín, Joaquim
8 Toscani, Giuseppe
7 Colesanti, Andrea
7 Guédon, Olivier
7 Jiménez, Carlos Hugo
7 Mossel, Elchanan
7 Zhang, Zhengliang
6 Aistleitner, Christoph
6 Bonnefont, Michel
6 Caputo, Pietro
6 Chen, Mu-Fa
6 Dolbeault, Jean
6 Eldan, Ronen
6 Fang, Shizan
6 Giannopoulos, Apostolos A.
6 Miclo, Laurent
6 Milman, Mario Marcos
6 Nourdin, Ivan
6 Privault, Nicolas
6 Röckner, Michael
5 Adamczak, Radosław
5 Bakry, Dominique
5 Boufoussi, Brahim
5 Cianchi, Andrea
5 Fukuyama, Katusi
5 Ivanisvili, Paata
5 Joulin, Aldéric
5 Malrieu, Florent
5 Mendelson, Shahar
5 Montenegro, Marcos
5 Nayar, Piotr
5 Papageorgiou, Ioannis
5 Peccati, Giovanni
5 Prochno, Joscha
5 Sambale, Holger
5 Saumard, Adrien
5 Schlichting, André
5 Shanmugalingam, Nageswari
5 Tkocz, Tomasz
5 Villani, Cédric
5 Volberg, Alexander Lvovich
4 Blower, Gordon
4 Boucheron, Stéphane Vincent
4 Cordero-Erausquin, Dario
4 Ding, Ying
4 Koldobsky, Alexander L.
4 Kosov, Egor D.
4 Lelièvre, Tony
4 Livshyts, Galyna V.
4 Ludwig, Monika
4 Mouchtabih, Soufiane
4 Mussnig, Fabian
4 Nguyễn Văn Hoàng
4 Pick, Luboš
4 Shu, Yan
4 Thäle, Christoph
4 Villa, Rafael
4 Vritsiou, Beatrice-Helen
4 Wang, Jian
3 Artstein-Avidan, Shiri
3 Avantaggiati, Antonio
3 Ball, Keith Martin
3 Balogh, Zoltán M.
3 Baudoin, Fabrice
3 Berkes, István
3 Bogachev, Vladimir Igorevich
3 Cañizo, José Alfredo
3 Capitaine, Mireille
3 Ceccon, Jurandir
3 Chazottes, Jean-René
3 Courtade, Thomas A.
...and 668 more Authors
all top 5

Cited in 182 Serials

71 Journal of Functional Analysis
44 Probability Theory and Related Fields
43 The Annals of Probability
30 Bernoulli
26 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
23 Potential Analysis
22 Journal of Mathematical Analysis and Applications
22 Stochastic Processes and their Applications
21 Advances in Mathematics
17 Statistics & Probability Letters
17 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
15 Journal of Theoretical Probability
14 Journal of Mathematical Sciences (New York)
14 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
13 Proceedings of the American Mathematical Society
12 Electronic Journal of Probability
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Transactions of the American Mathematical Society
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 The Annals of Applied Probability
10 The Journal of Geometric Analysis
9 Israel Journal of Mathematics
9 Bulletin des Sciences Mathématiques
8 Journal of Mathematical Physics
8 Advances in Applied Mathematics
8 Calculus of Variations and Partial Differential Equations
7 Acta Mathematica Sinica. English Series
7 Communications in Contemporary Mathematics
7 Frontiers of Mathematics in China
6 Revista Matemática Iberoamericana
6 Geometric and Functional Analysis. GAFA
6 Journal of the European Mathematical Society (JEMS)
5 Journal of Statistical Physics
5 Studia Mathematica
5 Theory of Probability and its Applications
5 Geometriae Dedicata
5 Inventiones Mathematicae
5 Ricerche di Matematica
5 Acta Applicandae Mathematicae
5 Annales Mathématiques Blaise Pascal
5 Doklady Mathematics
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Archive for Rational Mechanics and Analysis
4 Mathematische Annalen
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Acta Mathematicae Applicatae Sinica. English Series
4 Combinatorics, Probability and Computing
4 Electronic Communications in Probability
4 Science China. Mathematics
3 Communications in Mathematical Physics
3 Lithuanian Mathematical Journal
3 Mathematical Notes
3 Mathematics of Computation
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Duke Mathematical Journal
3 Manuscripta Mathematica
3 Mathematika
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Discrete and Continuous Dynamical Systems
3 Electronic Journal of Statistics
2 Discrete Mathematics
2 Journal d’Analyse Mathématique
2 Nonlinearity
2 Journal of Applied Probability
2 Journal of Differential Equations
2 Journal of the London Mathematical Society. Second Series
2 Mathematics and Computers in Simulation
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 Acta Mathematica Hungarica
2 Forum Mathematicum
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Mathematical Methods of Statistics
2 The Journal of Fourier Analysis and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Positivity
2 Annals of Mathematics. Second Series
2 Annales Henri Poincaré
2 Advances in Geometry
2 Journal of Evolution Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 SIAM Journal on Imaging Sciences
2 Analysis & PDE
2 Statistics Surveys
2 Random Matrices: Theory and Applications
2 Analysis and Geometry in Metric Spaces
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Acta Mathematica Vietnamica
...and 82 more Serials
all top 5

Cited in 46 Fields

547 Probability theory and stochastic processes (60-XX)
132 Real functions (26-XX)
123 Functional analysis (46-XX)
121 Convex and discrete geometry (52-XX)
83 Partial differential equations (35-XX)
70 Measure and integration (28-XX)
69 Operator theory (47-XX)
61 Statistics (62-XX)
51 Global analysis, analysis on manifolds (58-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
46 Statistical mechanics, structure of matter (82-XX)
43 Information and communication theory, circuits (94-XX)
34 Difference and functional equations (39-XX)
34 Differential geometry (53-XX)
23 Dynamical systems and ergodic theory (37-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Combinatorics (05-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Numerical analysis (65-XX)
13 Computer science (68-XX)
12 Number theory (11-XX)
11 Operations research, mathematical programming (90-XX)
9 Functions of a complex variable (30-XX)
8 Quantum theory (81-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Ordinary differential equations (34-XX)
5 Potential theory (31-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Approximations and expansions (41-XX)
5 Abstract harmonic analysis (43-XX)
4 Special functions (33-XX)
4 Mechanics of particles and systems (70-XX)
3 Topological groups, Lie groups (22-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Group theory and generalizations (20-XX)
2 Integral transforms, operational calculus (44-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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