Sublinear deviation between geodesics and sample paths

DOI10.1215/00127094-2871197zbMath1314.30085arXiv1210.7352OpenAlexW2083302179WikidataQ125919283 ScholiaQ125919283MaRDI QIDQ2339642

Giulio Tiozzo

Publication date: 2 April 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7352

zbMATH Keywords

random walksgeodesicsmapping class groupTeichmüller distance

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Random walks on graphs (05C81)

Related Items (15)

Shannon's theorem for locally compact groups ⋮ Small eigenvalues of random 3-manifolds ⋮ Random walks on weakly hyperbolic groups ⋮ Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Random walks on mapping class groups ⋮ Effective drift estimates for random walks on graph products ⋮ Some asymptotic properties of random walks on homogeneous spaces ⋮ Word length statistics for Teichmüller geodesics and singularity of harmonic measure ⋮ Tracking rates of random walks ⋮ The stratum of random mapping classes ⋮ Random veering triangulations are not geometric ⋮ Random walks on the discrete affine group ⋮ Linear progress with exponential decay in weakly hyperbolic groups ⋮ Random walks on convergence groups

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