Regularity of the entropy for random walks on hyperbolic groups

Details Regularity of the entropy for random walks on hyperbolic groups Regularity of the entropy for random walks on hyperbolic groups

2011-10-14

arxiv.org/abs/1110.3156v2

Mathematics

Probability

Scientific paper

We consider non-degenerate, 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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