Isoperimetric constants for product probability measures

S. G. Bobkov; C. Houdré

doi:10.1214/aop/1024404284

Isoperimetric constants for product probability measures

S. G. Bobkov, C. Houdré

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

83 Scopus citations

Abstract

A dimension free lower bound is found for isoperimetric constants of product probability measures. From this, some analytic inequalities are derived.

Original language	English (US)
Pages (from-to)	184-205
Number of pages	22
Journal	Annals of Probability
Volume	25
Issue number	1
DOIs	https://doi.org/10.1214/aop/1024404284
State	Published - Jan 1997
Externally published	Yes

Keywords

Cheeger's inequality
Hölder's inequality
Isoperimetry
Khintchine-Kahane inequality
Poincaré inequalities

Publisher link

10.1214/aop/1024404284

Find It

Find It at U of M Libraries

Cite this

@article{dc766676c3ce47c6a0ea6aa323f55b05,

title = "Isoperimetric constants for product probability measures",

abstract = "A dimension free lower bound is found for isoperimetric constants of product probability measures. From this, some analytic inequalities are derived.",

keywords = "Cheeger's inequality, H{\"o}lder's inequality, Isoperimetry, Khintchine-Kahane inequality, Poincar{\'e} inequalities",

author = "Bobkov, {S. G.} and C. Houdr{\'e}",

year = "1997",

month = jan,

doi = "10.1214/aop/1024404284",

language = "English (US)",

volume = "25",

pages = "184--205",

journal = "Annals of Probability",

issn = "0091-1798",

publisher = "Institute of Mathematical Statistics",

number = "1",

}

TY - JOUR

T1 - Isoperimetric constants for product probability measures

AU - Bobkov, S. G.

AU - Houdré, C.

PY - 1997/1

Y1 - 1997/1

N2 - A dimension free lower bound is found for isoperimetric constants of product probability measures. From this, some analytic inequalities are derived.

AB - A dimension free lower bound is found for isoperimetric constants of product probability measures. From this, some analytic inequalities are derived.

KW - Cheeger's inequality

KW - Hölder's inequality

KW - Isoperimetry

KW - Khintchine-Kahane inequality

KW - Poincaré inequalities

UR - http://www.scopus.com/inward/record.url?scp=0031511187&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031511187&partnerID=8YFLogxK

U2 - 10.1214/aop/1024404284

DO - 10.1214/aop/1024404284

M3 - Article

AN - SCOPUS:0031511187

SN - 0091-1798

VL - 25

SP - 184

EP - 205

JO - Annals of Probability

JF - Annals of Probability

IS - 1

ER -

Isoperimetric constants for product probability measures

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this