Institut de Mathématiques de Luminy

Abstract 2001-18

Schmeling JoŽl and Troubetzkoy Serge.
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.

 

 



Last update : september 17, 2001, EL.