Open Access
January 1996 Extremal properties of half-spaces for log-concave distributions
S. Bobkov
Ann. Probab. 24(1): 35-48 (January 1996). DOI: 10.1214/aop/1042644706

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.

Citation

Download Citation

S. Bobkov. "Extremal properties of half-spaces for log-concave distributions." Ann. Probab. 24 (1) 35 - 48, January 1996. https://doi.org/10.1214/aop/1042644706

Information

Published: January 1996
First available in Project Euclid: 15 January 2003

zbMATH: 0859.60048
MathSciNet: MR1387625
Digital Object Identifier: 10.1214/aop/1042644706

Subjects:
Primary: 60G70

Keywords: Isoperimetry

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 1 • January 1996
Back to Top