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arXiv · 0806.2729

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

J. Hilgert·A. D. Pohl
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Abstract

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 $Γ\backslash H$, where $H$ is the upper half plane and $Γ=\PGamma_0(p)$, $p$ 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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J. Hilgert, A. D. Pohl. 2008-10-07. Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. https://arxiv.org/abs/0806.2729

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