Sublinear deviation between geodesics and sample paths

By G. Tiozzo. 2012

46 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5c54baac2285c12bf977e49c9bbe540d86dc0e62