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arXiv · 1707.01151

Asymptotic periodicity in outer billiards with contraction

José Pedro Gaivão
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Abstract

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.

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José Pedro Gaivão. 2017-07-04. Asymptotic periodicity in outer billiards with contraction. https://arxiv.org/abs/1707.01151

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