Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

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dc.creatorSchmeling, Joerg
dc.creatorTroubetzkoy, Serge
dc.date2001-05-17
dc.date2001-09-25
dc.date.accessioned2026-07-07T04:41:45Z
dc.date.available2026-07-07T04:41:45Z
dc.descriptionFor a given rotation number we compute the Hausdorff dimension of the set of well approximable numbers. We use this result and an inhomogeneous version of Jarnik's theorem to show strong recurrence properties of the billiard flow in certain polygons
dc.description13 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0105150
dc.identifierhttp://arxiv.org/abs/math/0105150
dc.identifierMat. Sbornik 194 (2003) 295-309.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61491
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37C, 11J
dc.titleInhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards
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