Isoperimetric constants for product probability measures

S. G. Bobkov; C. Houdré

doi:10.1214/aop/1024404284

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Home > Journals > Ann. Probab. > Volume 25 > Issue 1 > Article

January 1997 Isoperimetric constants for product probability measures

S. G. Bobkov, C. Houdré

Ann. Probab. 25(1): 184-205 (January 1997). DOI: 10.1214/aop/1024404284

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Abstract

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

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S. G. Bobkov. C. Houdré. "Isoperimetric constants for product probability measures." Ann. Probab. 25 (1) 184 - 205, January 1997. https://doi.org/10.1214/aop/1024404284

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Published: January 1997

First available in Project Euclid: 18 June 2002

zbMATH: 0878.60013

MathSciNet: MR1428505

Digital Object Identifier: 10.1214/aop/1024404284

Subjects:

Primary: 28A35 , 49Q20 , 60E15

Keywords: Cheeger's inequality , Hölder's inequality , Isoperimetry , Khintchine-Kahane inequality , Poincaré inequalities

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Ann. Probab.

Vol.25 • No. 1 • January 1997

Institute of Mathematical Statistics

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S. G. Bobkov, C. Houdré "Isoperimetric constants for product probability measures," The Annals of Probability, Ann. Probab. 25(1), 184-205, (January 1997)

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