REGULARITY OF THE ENTROPY FOR RANDOM WALKS ON HYPERBOLIC GROUPS
成果类型：
Article
署名作者：
Ledrappier, Francois
署名单位：
University of Notre Dame; Sorbonne Universite
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/12-AOP748
发表日期：
2013
页码：
3582-3605
关键词：
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.