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arXiv:1707.01151 [math.DS]AbstractReferencesReviewsResources

Asymptotic periodicity in outer billiards with contraction

José Pedro Gaivão

Published 2017-07-04Version 1

We show that for almost every $(P,\lambda)$ where $P$ is a convex polygon and $\lambda\in(0,1)$, the corresponding outer billiard about $P$ with contraction $\lambda$ is asymptotically periodic, i.e., has a finite number of periodic orbits and every orbit is attracted to one of them.

Comments: 17 pages, 2 figures
Categories: math.DS
Subjects: 37E99
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