Differentiating the entropy of random walks on hyperbolic groups

DOI10.1214/13-AOP901zbMath1308.60054arXiv1209.2020MaRDI QIDQ482837

Pierre Mathieu

Publication date: 6 January 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2020

zbMATH Keywords

entropyrandom walkshyperbolic groupsrate of escape

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Asymptotic Word Length of Random Walks on HNN Extensions, Deviation inequalities for random walks, Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes, Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain, Analyticity of the entropy and the escape rate of random walks in hyperbolic groups, Regularity of the speed of biased random walk in a one-dimensional percolation model, Differentiability of the speed of biased random walks on Galton-Watson trees, Coexistence of competing first passage percolation on hyperbolic graphs, The Regularity of the Linear Drift in Negatively Curved Spaces

Cites Work

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