Regularity of the entropy for random walks on hyperbolic groups

• Autores: François Ledrappier
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 5, 2013, págs. 3582-3605
• Idioma: inglés
• DOI: 10.1214/12-AOP748
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• Resumen

  • 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.