Isoperimetric constants for product probability measures

Isoperimetric constants for product probability measures

S. G. Bobkov and C. Houdré

Source: Ann. Probab. Volume 25, Number 1 (1997), 184-205.

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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Primary Subjects: 60E15, 28A35, 49Q20

Keywords: Isoperimetry; Poincaré Inequalities; Cheeger's inequality; Khintchine-Kahane inequality; Hölder's Inequality

Full-text: Open access

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Permanent link to this document: http://projecteuclid.org/euclid.aop/1024404284
Mathematical Reviews number (MathSciNet): MR1428505
Digital Object Identifier: doi:10.1214/aop/1024404284
Zentralblatt MATH identifier: 0878.60013

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