Extremal properties of half-spaces for log-concave distributions
S. Bobkov
Source: Ann. Probab. Volume 24, Number 1
(1996), 35-48.
Abstract
The isoperimetric problem for log-concave product measures in $\mathbb{R}^n$ equipped with the uniform distance is considered. Necessary and sufficient conditions under which standard half-spaces are extremal are presented.
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Primary Subjects:
60G70
Keywords:
Isoperimetry
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1042644706
Mathematical Reviews number (MathSciNet): MR1387625
Digital Object Identifier: doi:10.1214/aop/1042644706
Zentralblatt MATH identifier: 0859.60048
References
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Digital Object Identifier: doi:10.1214/aop/1176988737
Project Euclid: euclid.aop/1176988737
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