Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one
J. Hilgert, A. D. Pohl
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 Γ∖H, 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.