Singularities and mixing properties of certain hyperbolic billiard systems
by
Péter Bálint
Institute of Mathematics, Budapest University of Technology and Economics
Coauthors: Imre Péter Tóth

Hyperbolic billiards provide physically realistic and mathematically challenging models for chaotic behaviour. The technical difficulty is mainly related to the presence of singularities, which alter the usual appearence of hyperbolic phenomena in a significant way. In most of the talk I will concentrate on the singularities of multidimensional dispersing (and thus uniformly hyperbolic) billiards when presenting results on exponential mixing rates in such systems. I would also like to mention briefly planar billiards with focusing boundary components (stadia and alike) where non-uniform hyperbolicity results in slower mixing rates, and high sensitivity with respect to perturbations of the billiard table.

Date received: June 22, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavg-43.