Symbolic dynamics for the geodesic flow on Hecke surfaces | Zendy

Dieter Mayer | Zendy; Fredrik Strömberg | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Symbolic dynamics for the geodesic flow on Hecke surfaces

Author(s) -

Dieter Mayer,

Fredrik Strömberg

Publication year - 2008

Publication title -

journal of modern dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 25

eISSN - 1930-532X

pISSN - 1930-5311

DOI - 10.3934/jmd.2008.2.581

Subject(s) - mathematics , geodesic , geodesic flow , pure mathematics , symbolic dynamics , flow (mathematics) , mathematical analysis , geometry

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research