Regularity of the entropy for random walks on hyperbolic groups
Probability
2013-10-22 v3 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.1110.3156,
title = {Regularity of the entropy for random walks on hyperbolic groups},
author = {François Ledrappier},
journal= {arXiv preprint arXiv:1110.3156},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/12-AOP748 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)