Invariances in variance estimates

被引：33

作者：

Barthe, F. ^{[1
]}

Cordero-Erausquin, D. ^{[2
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse 09, France

[2] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 106卷

关键词：

CONSERVATIVE SPIN SYSTEMS; CONVEX-BODIES; CONCAVE FUNCTIONS; SPECTRAL GAP; INEQUALITIES; SETS;

D O I：

10.1112/plms/pds011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide variants and improvements of the Brascamp-Lieb variance inequality which takes into account the invariance properties of the underlying measure. This is applied to spectral gap estimates for log-concave measures with many symmetries and to non-interacting conservative spin systems.

引用

页码：33 / 64

页数：32

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