REGULARITY OF THE ENTROPY FOR RANDOM WALKS ON HYPERBOLIC GROUPS

被引：12

作者：

Ledrappier, Francois ^{[1
,2
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46656 USA

[2] Univ Paris 06, LPMA, UMR CNRS 7599, F-75252 Paris 05, France

来源：

ANNALS OF PROBABILITY | 2013年 / 41卷 / 05期

关键词：

Entropy; hyperbolic group;

D O I：

10.1214/12-AOP748

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider nondegenerate, finitely supported random walks on a finitely generated Gromov hyperbolic group. We show that the entropy and the escape rate are Lipschitz functions of the probability if the support remains constant.

引用

页码：3582 / 3605

页数：24

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