Geodesic cusp excursions and metric diophantine approximation

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dc.creatorHaas, Andrew
dc.date2007-09-04
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:04:02Z
dc.date.available2026-07-07T13:04:02Z
dc.descriptionWe derive several results that describe the rate at which a generic geodesic makes excursions into and out of a cusp on a finite area hyperbolic surface and relate them to approximation with respect to the orbit of infinity for an associated Fuchsian group. This provides proofs of some well known theorems from metric diophantine approximation in the context of Fuchsian groups. It also gives new results in the classical setting.
dc.description20 pages, see published paper for final edition
dc.identifierhttps://arxiv.org/abs/0709.0313
dc.identifierhttp://arxiv.org/abs/0709.0313
dc.identifierMath. Res. Lett. 16 (2009), no.1, 67--85
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227017
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject30F35; 37E35; 11K60
dc.titleGeodesic cusp excursions and metric diophantine approximation
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