Extremal properties of half-spaces for log-concave distributions

S. Bobkov

doi:10.1214/aop/1042644706

Extremal properties of half-spaces for log-concave distributions

S. Bobkov

School of Mathematics

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

66 Scopus citations

Abstract

The isoperimetric problem for log-concave product measures in ℝⁿ equipped with the uniform distance is considered. Necessary and sufficient conditions under which standard half-spaces are extremal are presented.

Original language	English (US)
Pages (from-to)	35-48
Number of pages	14
Journal	Annals of Probability
Volume	24
Issue number	1
DOIs	https://doi.org/10.1214/aop/1042644706
State	Published - 1996

Keywords

Isoperimetry

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10.1214/aop/1042644706

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title = "Extremal properties of half-spaces for log-concave distributions",

abstract = "The isoperimetric problem for log-concave product measures in ℝn equipped with the uniform distance is considered. Necessary and sufficient conditions under which standard half-spaces are extremal are presented.",

keywords = "Isoperimetry",

author = "S. Bobkov",

year = "1996",

doi = "10.1214/aop/1042644706",

language = "English (US)",

volume = "24",

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journal = "Annals of Probability",

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PY - 1996

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KW - Isoperimetry

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DO - 10.1214/aop/1042644706

M3 - Article

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JO - Annals of Probability

JF - Annals of Probability

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ER -

Extremal properties of half-spaces for log-concave distributions

Abstract

Keywords

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