Limit sets of convex non-elastic billiards

摘要

Inspired by the work of Pujals and Sambarino on dominated splitting [E.R. Pujals and M. Sambarino, On the dynamics of dominated splitting, Ann. Math. 169 (2009), pp. 675-740], we present billiards with a modified reflection law which constitute simple examples of dynamical systems with limit sets having dominated splitting and where the dynamics is a rational or irrational rotation.