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.

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Copyright © 1996 Institute of Mathematical Statistics
S. Bobkov "Extremal properties of half-spaces for log-concave distributions," The Annals of Probability 24(1), 35-48, (January 1996). https://doi.org/10.1214/aop/1042644706
Published: January 1996
Vol.24 • No. 1 • January 1996
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