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arXiv:1110.3156 [math.PR]AbstractReferencesReviewsResources

Regularity of the entropy for random walks on hyperbolic groups

François Ledrappier

Published 2011-10-14, updated 2013-10-21Version 3

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.

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)
Journal: Annals of Probability 2013, Vol. 41, No. 5, 3582-3605
Categories: math.PR, math.DS
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