Some remarks on isoperimetry of Gaussian type

被引：38

作者：

Barthe, F ^{[1
]}

Maurey, B ^{[1
]}

机构：

[1] Univ Marne Vallee, Equipe Anal & Math Appl, ESA 8050, F-77454 Marne La Vallee 2, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2000年 / 36卷 / 04期

关键词：

isoperimetry; Gaussian measure;

D O I：

10.1016/S0246-0203(00)00131-X

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 martingale proof of Gaussian isoperimetry, which also contains Bobkov's inequality on the two-point space and its extension to non symmetric Bernoulli measures. We derive the equivalence of different forms of Gaussian type isoperimetry. This allows us to prove a sharp form of Bobkov's inequality for the sphere and to get isoperimetric estimates for the unit cube. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：419 / 434

页数：16

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