Central limit theorems for mapping class groups and \(\operatorname{Out}(F_N)\)

DOI10.2140/gt.2018.22.105zbMath1439.60008arXiv1506.07244OpenAlexW1180884884MaRDI QIDQ1676767

Camille Horbez

Publication date: 10 November 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07244

zbMATH Keywords

outer automorphism groupscentral limit theoremmapping class groupsrandom walks on groups\(\operatorname{Out}(F_N)\)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Geometric group theory (20F65) Automorphism groups of groups (20F28) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (10)

The topology and geometry of automorphism groups of free groups ⋮ Random trees in the boundary of outer space ⋮ Central limit theorems for counting measures in coarse negative curvature ⋮ Deviation inequalities for random walks ⋮ 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 ⋮ 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 ⋮ Random walks on hyperbolic spaces: concentration inequalities and probabilistic Tits alternative

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