A pointwise ergodic theorem for Fuchsian groups
Dynamical Systems
2015-05-20 v1 Geometric Topology
Abstract
We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian group.
Cite
@article{arxiv.1010.3362,
title = {A pointwise ergodic theorem for Fuchsian groups},
author = {Alexander I. Bufetov and Caroline Series},
journal= {arXiv preprint arXiv:1010.3362},
year = {2015}
}
Comments
16 pages, 4 figures