A reverse entropy power inequality for log-concave random vectors

被引：21

作者：

Ball, Keith ^{[1
]}

Nayar, Piotr ^{[2
]}

Tkocz, Tomaz ^{[1
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

[2] Inst Math & Applicat, Minneapolis, MN 55455 USA

来源：

STUDIA MATHEMATICA | 2016年 / 235卷 / 01期

基金：

美国国家科学基金会;

关键词：

entropy; log-concave; reverse entropy power inequality; FISHER INFORMATION; SIMPLE PROOF; JUMPS;

D O I：

10.4064/sm8418-6-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.

引用

页码：17 / 30

页数：14

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