A horospherical ratio ergodic theorem for actions of free groups
Dynamical Systems
2012-07-17 v1
Abstract
We prove a ratio ergodic theorem for amenable equivalence relations satisfying a strong form of the Besicovich covering property. We then use this result to study general non-singular actions of non-abelian free groups and establish a ratio ergodic theorem for averages along horospheres.
Keywords
Cite
@article{arxiv.1207.3569,
title = {A horospherical ratio ergodic theorem for actions of free groups},
author = {Lewis Bowen and Amos Nevo},
journal= {arXiv preprint arXiv:1207.3569},
year = {2012}
}