Regularity of the entropy for random walks on hyperbolic groups

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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Field Value
Source https://hal.science/hal-00632262
Author Ledrappier, Francois
Maintainer CCSD
Last Updated May 24, 2026, 21:45 (UTC)
Created May 24, 2026, 21:45 (UTC)
Identifier hal-00632262
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Probabilités et Modèles Aléatoires (LPMA) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Ledrappier, Francois
date 2011-10-13T00:00:00
harvest_object_id 047b7669-f4eb-44a9-8b4f-9bb5909890b1
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-29T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1110.3156
set_spec type:UNDEFINED