Remarks on the Relation of Log-Concave and Contoured Distributions in Rn

被引：0
|
作者：
Dafnis, Nikos [1 ]
Tsolomitis, Antonis [1 ]
机构：
[1] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 06期
关键词：
Log-concave distributions; Contoured distributions; Isotropic measures; CONVEX; SECTIONS; BODIES;
D O I：
10.1007/s12220-024-01634-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a characterization of those log-concave distributions in R-n that are con-toured distributions, through the K-p-bodies of the distribution, defined by Ball. Our method uses the logarithmic integral for the solution of a Bernstein type approximation problem. In the second part of the paper we state a question for contoured distributions that would provide an alternative approach to the isotropic constant problem.
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页数：16
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