Invariances in variance estimates

被引：31
|
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.
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页码：33 / 64
页数：32
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