KLS-type isoperimetric bounds for log-concave probability measures

Sergey G. Bobkov; Dario Cordero-Erausquin

doi:10.1007/s10231-015-0483-1

KLS-type isoperimetric bounds for log-concave probability measures

Sergey G. Bobkov, Dario Cordero-Erausquin

Mathematics

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

Abstract

The paper considers geometric lower bounds on the isoperimetric constant for logarithmically concave probability measures, extending and refining some results by Kannan et al. (Discret Comput Geom 13:541–559, 1995).

Original language	English (US)
Pages (from-to)	681-695
Number of pages	15
Journal	Annali di Matematica Pura ed Applicata
Volume	195
Issue number	3
DOIs	https://doi.org/10.1007/s10231-015-0483-1
State	Published - Jun 2016

Keywords

Geometric functional inequalities
Isoperimetric inequalities
Logarithmically concave distributions

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title = "KLS-type isoperimetric bounds for log-concave probability measures",

abstract = "The paper considers geometric lower bounds on the isoperimetric constant for logarithmically concave probability measures, extending and refining some results by Kannan et al. (Discret Comput Geom 13:541–559, 1995).",

keywords = "Geometric functional inequalities, Isoperimetric inequalities, Logarithmically concave distributions",

author = "Bobkov, {Sergey G.} and Dario Cordero-Erausquin",

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AU - Cordero-Erausquin, Dario

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KW - Isoperimetric inequalities

KW - Logarithmically concave distributions

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