Differentiating the entropy of random walks on hyperbolic groups
arXiv:1209.2020 · doi:10.1214/13-AOP901
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.
Published in at http://dx.doi.org/10.1214/13-AOP901 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
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