Differentiating the entropy of random walks on hyperbolic groups

• Mathieu, P ^[1]
  1. [1] Aix Marseille Université
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 1, 2015, págs. 166-187
• Idioma: inglés
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• Resumen

  • We show that the asymptotic entropy of a random walk on a nonelementary hyperbolic group, with symmetric and bounded increments, is differentiable and we identify its derivative as a correlation. We also prove similar results for the rate of escape.