Isoperimetry between exponential and Gaussia

被引：30

作者：

Barthe, F. ^{[1
]}

Cattiaux, P.

Roberto, C.

机构：

[1] Univ Toulouse 3, Inst Math, Lab Stat Probabilites, UMR 5583, F-31062 Toulouse, France

[2] Ecole Polytech, CNRS 756, CMAP, F-91128 Palaiseau, France

[3] Univ Paris 10, Equipe MODALX, SEGMI, UFR, F-92001 Nanterre, France

[4] Univ Paris 12, Lab Anal Math Appl, UMR 8050, F-77454 Creteil, France

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2007年 / 12卷

关键词：

isoperimetry; super-poincare inequality;

D O I：

10.1214/EJP.v12-441

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 study the isoperimetric problem for product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples where coordinate half - spaces are approximate solutions of the isoperimetric problem.

引用

页码：1212 / 1237

页数：26

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