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arXiv · 1712.01130

Outer billiards outside regular octagon: set of full measure and an aperiodic point

Filipp Rukhovich
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Abstract

In this paper, outer billiards outside regular octagon are studied in details. We described all periodic points and their periods; also, we proved that the periodic points form a set of full measure outside the octagon and found an aperiodic point.

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Filipp Rukhovich. 2017-12-04. Outer billiards outside regular octagon: set of full measure and an aperiodic point. https://arxiv.org/abs/1712.01130

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