Spectral Theorems for Random Walks on Mapping Class Groups and Out $(\boldsymbol{F}_{\boldsymbol{N}})$

DOI10.1093/imrn/rnw306zbMath1407.37046arXiv1506.06790OpenAlexW3122455345MaRDI QIDQ4619373

Camille Horbez, François Dahmani

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06790

zbMATH Keywords

random walksspectral theoremsTeichmüller geodesics

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 (10)

Random trees in the boundary of outer space ⋮ Small eigenvalues of random 3-manifolds ⋮ Degree growth for tame automorphisms of an affine quadric threefold ⋮ Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces ⋮ Random walks on mapping class groups ⋮ The space of metric structures on hyperbolic groups ⋮ The stratum of random mapping classes ⋮ Random veering triangulations are not geometric ⋮ Non virtually solvable subgroups of mapping class groups have non virtually solvable representations ⋮ Random outer automorphisms of free groups: Attracting trees and their singularity structures

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