A simple proof of the Poincare inequality for a large class of probability measures including the log-concave case

被引：134

作者：

Bakry, Dominique ^{[1
]}

Barthe, Franck ^{[1
]}

Cattiaux, Patrick ^{[1
]}

Guillin, Arnaud ^{[2
]}

机构：

[1] Univ Toulouse 3, Lab Stat & Probabil, CNRS UMR 5219, Inst Math, F-31062 Toulouse 09, France

[2] Univ Aix Marseille 1, Ecole Cent Marseille & LATP, Technopole Chateau Gombert, F-13453 Marseille, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2008年 / 13卷

关键词：

26D10; 47D07; 60G10; 60J60;

D O I：

10.1214/ECP.v13-1352

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We give a simple and direct proof of the existence of a spectral gap under some Lyapunov type condition which is satisfied in particular by log-concave probability measures on R-n. The proof is based on arguments introduced in [2], but for the sake of completeness, all details are provided.

引用

页码：60 / 66

页数：7

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