%0 Journal Article
%T Differentiating the entropy of random walks on hyperbolic groups
%+ Institut de Mathématiques de Marseille (I2M)
%A Mathieu, P.
%< avec comité de lecture
%@ 0091-1798
%J Annals of Probability
%I Institute of Mathematical Statistics
%V 43
%N 1
%P 166-187
%8 2015
%D 2015
%Z 1209.2020
%R 10.1214/13-AOP901
%Z Mathematics [math]Journal articles
%X 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.
%G English
%L hal-01266478
%U https://hal.science/hal-01266478
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-