Bounds on the deficit in the logarithmic Sobolev inequality

S. G. Bobkov; N. Gozlan; C. Roberto; P. M. Samson

doi:10.1016/j.jfa.2014.09.016

Bounds on the deficit in the logarithmic Sobolev inequality

S. G. Bobkov, N. Gozlan, C. Roberto, P. M. Samson

School of Mathematics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

Original language	English (US)
Pages (from-to)	4110-4138
Number of pages	29
Journal	Journal of Functional Analysis
Volume	267
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2014.09.016
State	Published - Dec 1 2014

Bibliographical note

Publisher Copyright:
© 2014 Elsevier Inc.

Keywords

Gaussian measures
Logarithmic Sobolev inequality
Optimal transport
Probability distances

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10.1016/j.jfa.2014.09.016

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title = "Bounds on the deficit in the logarithmic Sobolev inequality",

abstract = "The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.",

keywords = "Gaussian measures, Logarithmic Sobolev inequality, Optimal transport, Probability distances",

author = "Bobkov, \{S. G.\} and N. Gozlan and C. Roberto and Samson, \{P. M.\}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2014",

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day = "1",

doi = "10.1016/j.jfa.2014.09.016",

language = "English (US)",

volume = "267",

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T1 - Bounds on the deficit in the logarithmic Sobolev inequality

AU - Bobkov, S. G.

AU - Gozlan, N.

AU - Roberto, C.

AU - Samson, P. M.

PY - 2014/12/1

Y1 - 2014/12/1

N2 - The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

AB - The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

KW - Gaussian measures

KW - Logarithmic Sobolev inequality

KW - Optimal transport

KW - Probability distances

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U2 - 10.1016/j.jfa.2014.09.016

DO - 10.1016/j.jfa.2014.09.016

M3 - Article

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SN - 0022-1236

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SP - 4110

EP - 4138

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 11

ER -

Bounds on the deficit in the logarithmic Sobolev inequality

Abstract

Bibliographical note

Keywords

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