Differentiating the entropy of random walks on hyperbolic groups

Authors
P. Mathieu
Citation
P. Mathieu, Differentiating the entropy of random walks on hyperbolic groups, Annals of probability (Online) , 43(1), 2015, pp. 166-187
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
43
Issue
1
Year of publication
2015
Pages
166 - 187
Database
ACNP
SICI code
Abstract
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.