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

School of Mathematics

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

1 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2015, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.

Keywords

Geometric functional inequalities
Isoperimetric inequalities
Logarithmically concave distributions

Publisher link

10.1007/s10231-015-0483-1

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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",

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AU - Cordero-Erausquin, Dario

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N2 - 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).

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KW - Geometric functional inequalities

KW - Isoperimetric inequalities

KW - Logarithmically concave distributions

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KLS-type isoperimetric bounds for log-concave probability measures

Abstract

Bibliographical note

Keywords

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