de Mathématiques de Luminy
Schmeling JoŽl and Troubetzkoy
Inhomogeneous diophantine approximation and angular recurrence for polygonal billiards
For a given rotation number we compute the Haus- dorff 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.