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arXiv · 1008.0367

Symbolic Dynamics for the Geodesic Flow on Two-dimensional Hyperbolic Good Orbifolds

Anke D. Pohl
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Abstract

We construct cross sections for the geodesic flow on the orbifolds $\Gamma\backslash H$ which are tailor-made for the requirements of transfer operator approaches to Maass cusp forms and Selberg zeta functions. Here, $H$ denotes the hyperbolic plane and $\Gamma$ is a nonuniform geometrically finite Fuchsian group (not necessarily a lattice, not necessarily arithmetic) which satisfies an additional condition of geometric nature. The construction of the cross sections is uniform, geometric, explicit and algorithmic.

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BibTeXRIS

Anke D. Pohl. 2010-08-02. Symbolic Dynamics for the Geodesic Flow on Two-dimensional Hyperbolic Good Orbifolds. https://arxiv.org/abs/1008.0367

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