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Appendix: Diophantine Approximation on Hyperbolic Surfaces

Jouni Parkkonen () and Frédéric Paulin ()
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Jouni Parkkonen: University of Jyväskylä, Department of Mathematics and Statistics
Frédéric Paulin: UMR 8553 CNRS, École Normale Supérieure, Département de Mathématiques et Applications

A chapter in Rigidity in Dynamics and Geometry, 2002, pp 227-236 from Springer

Abstract: Abstract In this (independent) appendix, we study the Diophantine approximation properties for the particular case of the cusped hyperbolic surfaces, in the spirit of Sect. 2 (or [11]), and the many still open questions that arise for them. We refer to [9], [10]for fundamental results and further developments. We study in particular the distance to a cusp of closed geodesics on a hyperbolic surface.

Keywords: Modulus Space; Boundary Component; Height Function; Closed Geodesic; Diophantine Approximation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04743-9_11

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DOI: 10.1007/978-3-662-04743-9_11

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