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

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dc.creatorHilgert, J.
dc.creatorPohl, A. D.
dc.date2008-06-17
dc.date2008-10-07
dc.date.accessioned2026-07-07T10:07:37Z
dc.date.available2026-07-07T10:07:37Z
dc.descriptionWe 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.
dc.description16 pages, 4 figures, Lemma 3.1 corrected and corresponding changes in the proof of Proposition 3.3
dc.identifierhttps://arxiv.org/abs/0806.2729
dc.identifierhttp://arxiv.org/abs/0806.2729
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170701
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37D40 (Primary), 11J70 (Secondary)
dc.titleSymbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one
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