%0 Journal Article
%T Symbolic dynamics for the geodesic flow on Hecke surfaces
%A Dieter Mayer
%A Fredrik Str£żmberg
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0801.3951v1