Borell's Formula on a Riemannian Manifold and Applications

被引：1

作者：

Lehec, Joseph ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, UMR CNRS 7534, Pl Lattre de Tassigny, F-75016 Paris, France

来源：

CONVEXITY AND CONCENTRATION | 2017年 / 161卷

关键词：

ENTROPY; REPRESENTATION; INEQUALITY; BRASCAMP;

D O I：

10.1007/978-1-4939-7005-6_9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Borell's formula is a stochastic variational formula for the log-Laplace transform of a function of a Gaussian vector. We establish an extension of this to the Riemannian setting and give a couple of applications, including a new proof of a convolution inequality on the sphere due to Carlen, Lieb and Loss.

引用

页码：267 / 284

页数：18

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