DIFFERENTIATING THE ENTROPY OF RANDOM WALKS ON HYPERBOLIC GROUPS

• 成果类型: Article
• 署名作者: Mathieu, P.
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Aix-Marseille Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/13-AOP901
• 发表日期: 2015
• 页码: 166-187
• 关键词: CENTRAL LIMIT-THEOREMS; discrete

摘要

We show that the asymptotic entropy of a random walk on a nonelementary hyperbolic group, with symmetric and bounded increments, is differentiable and we identify its derivative as a correlation. We also prove similar results for the rate of escape.