Volume entropy for surface groups via Bowen-Series like maps
Dynamical Systems
2009-08-26 v1 Group Theory
Abstract
We define a Bowen-Series like map for every geometric presentation of a co-compact surface group and we prove that the volume entropy of the presentation is the topological entropy of this particular (circle) map. Finally we find the minimal volume entropy among geometric presentations.
Cite
@article{arxiv.0908.3537,
title = {Volume entropy for surface groups via Bowen-Series like maps},
author = {Jérôme Los},
journal= {arXiv preprint arXiv:0908.3537},
year = {2009}
}