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Asymptotic periodicity in outer billiards with contraction
Published online by Cambridge University Press: 14 June 2018
Abstract
We show that for almost every $(P,\unicode[STIX]{x1D706})$, where
$P$ is a convex polygon and
$\unicode[STIX]{x1D706}\in (0,1)$, the corresponding outer billiard about
$P$ with contraction
$\unicode[STIX]{x1D706}$ 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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- © Cambridge University Press, 2018
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