Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications

S. G. Bobkov

doi:10.1137/S0040585X97979688

Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications

S. G. Bobkov

School of Mathematics

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

5 Scopus citations

Abstract

A Gaussian-type isoperimetric inequality due to D. Bakry and M. Ledoux is proved by means of the localization lemma of Lovász and Simonovits, Some applications on sharp large deviations are given.

Original language	English (US)
Pages (from-to)	308-314
Number of pages	7
Journal	Theory of Probability and its Applications
Volume	47
Issue number	2
DOIs	https://doi.org/10.1137/S0040585X97979688
State	Published - 2003

Keywords

Isoperimetric inequality
Large deviations
Localization

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10.1137/S0040585X97979688

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title = "Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications",

abstract = "A Gaussian-type isoperimetric inequality due to D. Bakry and M. Ledoux is proved by means of the localization lemma of Lov{\'a}sz and Simonovits, Some applications on sharp large deviations are given.",

keywords = "Isoperimetric inequality, Large deviations, Localization",

author = "Bobkov, \{S. G.\}",

year = "2003",

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language = "English (US)",

volume = "47",

pages = "308--314",

journal = "Theory of Probability and its Applications",

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AU - Bobkov, S. G.

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KW - Isoperimetric inequality

KW - Large deviations

KW - Localization

UR - https://www.scopus.com/pages/publications/0038809981

UR - https://www.scopus.com/pages/publications/0038809981#tab=citedBy

U2 - 10.1137/S0040585X97979688

DO - 10.1137/S0040585X97979688

M3 - Article

AN - SCOPUS:0038809981

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VL - 47

SP - 308

EP - 314

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

IS - 2

ER -

Localization proof of the Bakry-Ledoux isoperimetric inequality and some applications

Abstract

Keywords

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