Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

Details Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

2001-05-17

arxiv.org/abs/math/0105150v2

Mat. Sbornik 194 (2003) 295-309.

Mathematics

Dynamical Systems

13 pages, 1 figure

Scientific paper

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

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