Central limit theorems for Gromov hyperbolic groups

DOI10.1007/s10959-009-0230-xzbMath1217.60019arXiv0905.1297OpenAlexW2117537754MaRDI QIDQ1960232

Michael Björklund

Publication date: 13 October 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1297

zbMATH Keywords

martingaleergodic theoryCLTrandom walks on groups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (18)

Law of large numbers for the drift of the two-dimensional wreath product ⋮ Central limit theorem for linear groups ⋮ Strong hyperbolicity ⋮ Asymptotic Word Length of Random Walks on HNN Extensions ⋮ Random walks on weakly hyperbolic groups ⋮ Characterizing the metric compactification of \(L_p\) spaces by random measures ⋮ Central limit theorems for mapping class groups and \(\operatorname{Out}(F_N)\) ⋮ A central limit theorem for the degree of a random product of Cremona transformations ⋮ Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces ⋮ Random walks on mapping class groups ⋮ The Dirichlet random walk ⋮ Random walks on directed covers of graphs ⋮ Random walks on hyperbolic spaces: second order expansion of the rate function at the drift ⋮ Rates of convergence in invariance principles for random walks on linear groups via martingale methods ⋮ Differentiating the entropy of random walks on hyperbolic groups ⋮ Renewal theory for random walks on surface groups ⋮ Analyticity of the entropy and the escape rate of random walks in hyperbolic groups ⋮ Large deviations for random walks on free products of finitely generated groups

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