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Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one

J. Hilgert, A. D. Pohl

Number 53
Author Anke Pohl
Project B09
Year 2008

We present a strategy for a geometric construction of cross sections for the geodesic flow on locally symmetric orbifolds of rank one. We work it out in detail for ΓH, where H is the upper half plane and Γ=PΓ0(p), p prime. Its associated discrete dynamical system naturally induces a symbolic dynamics on R. The transfer operator produced from this symbolic dynamics has a particularly simple structure.

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