Gaussian measure of sections of convex bodies

被引：7

作者：

Zvavitch, A ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

ADVANCES IN MATHEMATICS | 2004年 / 188卷 / 01期

关键词：

convex body; Gaussian measure; Busemann-Petty problem;

D O I：

10.1016/j.aim.2003.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study properties of sections of convex bodies with respect to the Gaussian measure. We develop a formula connecting the Minkowski functional of a convex symmetric body K with the Gaussian measure of its sections. Using this formula we solve an analog of the Busemann-Petty problem for Gaussian measures. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：124 / 136

页数：13

共 22 条

[1] CUBE SLICING IN RN [J].