Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

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For 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
13 pages, 1 figure

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Dynamical Systems, Number Theory, 37C, 11J

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http://salesiana.dossiersoluciones.com/handle/123456789/61491

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105150
 http://arxiv.org/abs/math/0105150
 Mat. Sbornik 194 (2003) 295-309.

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arXiv