Sublinear deviation between geodesics and sample paths
Geometric Topology
2015-11-03 v2 Group Theory
Metric Geometry
Probability
Abstract
We give a proof of the sublinear tracking property for sample paths of random walks on various groups acting on spaces with hyperbolic-like properties. As an application, we prove sublinear tracking in Teichmueller distance for random walks on mapping class groups, and on Cayley graphs of a large class of finitely generated groups.
Cite
@article{arxiv.1210.7352,
title = {Sublinear deviation between geodesics and sample paths},
author = {Giulio Tiozzo},
journal= {arXiv preprint arXiv:1210.7352},
year = {2015}
}
Comments
23 pages. Added section on lamplighter groups over trees and various minor revisions. Refereed version