Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities

被引：9

作者：

Ledoux, Michel ^{[1
,2
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, F-31062 Toulouse, France

[2] Inst Univ France, Paris, France

来源：

GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR (GAFA) 2011-2013 | 2014年 / 2116卷

关键词：

SOBOLEV INEQUALITIES; YOUNGS-INEQUALITY; ENTROPY; SPACE;

D O I：

10.1007/978-3-319-09477-9_20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

E. Mossel and J. Neeman recently provided a heat flow monotonicity proof of Borell's noise stability theorem. In this note, we develop the argument to include in a common framework noise stability, Brascamp-Lieb inequalities (including hypercontractivity), and even a weak form of Slepian inequalities. The scheme applies furthermore to families of measures with are more log-concave than the Gaussian measure.

引用

页码：309 / 333

页数：25

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