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arXiv · 0801.3951

Symbolic dynamics for the geodesic flow on Hecke surfaces

Dieter Mayer·Fredrik Strömberg
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Abstract

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.

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Dieter Mayer, Fredrik Strömberg. 2008-01-25. Symbolic dynamics for the geodesic flow on Hecke surfaces. https://arxiv.org/abs/0801.3951

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