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Article Dans Une Revue Matematicheski Sbornik Année : 2003

Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

Résumé

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

Dates et versions

hal-00113615 , version 1 (13-11-2006)

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Joerg Schmeling, Serge Troubetzkoy. Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards. Matematicheski Sbornik, 2003, 194, pp.295-309. ⟨hal-00113615⟩
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