Regularity of the entropy for random walks on hyperbolic groups

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00632262
Contributor : Francois Ledrappier <>
Submitted on : Tuesday, March 13, 2012 - 5:36:22 PM
Last modification on : Wednesday, May 15, 2019 - 3:37:34 AM
Long-term archiving on: Thursday, June 14, 2012 - 5:55:56 PM

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  • HAL Id : hal-00632262, version 2
  • ARXIV : 1110.3156

Citation

Francois Ledrappier. Regularity of the entropy for random walks on hyperbolic groups. 2011. ⟨hal-00632262v2⟩

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