Year: 2009
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Los, Jérôme
Institution: Institut de Mathématiques de Marseille
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2121364340