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arXiv · 1110.3156

Regularity of the entropy for random walks on hyperbolic groups

François Ledrappier
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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.

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François Ledrappier. 2013-10-21. Regularity of the entropy for random walks on hyperbolic groups. https://doi.org/10.1214/12-aop748

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