Symbolic dynamics for the geodesic flow on Hecke surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we discuss a coding and the associated symbolic dynamics for the geodesic flow on Hecke triangle surfaces. We construct an explicit cross section for which the first return map factors through a simple (explicit) map given in terms of the generating map of a particular continued fraction expansion closely related to the Hecke triangle groups. We also obtain explicit expressions for the associated first return times.
42 pages, 10 figures

Keywords

Dynamical Systems, 37D40 (Primary); 37E05,11A55,11K50 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/146630

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.3951
 http://arxiv.org/abs/0801.3951

Collections

arXiv