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Author Hilgert, J. ♦ Pohl, A. D.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-17
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Dynamical Systems ♦ Mathematics - Number Theory ♦ 37D40 (Primary) ♦ 11J70 (Secondary) ♦ math
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 $\Gamma\backslash H$, where $H$ is the upper half plane and $\Gamma=\PGamma_0(p)$, $p$ 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.
Educational Use Research
Learning Resource Type Article
Page Count 16


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