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arXiv · 2311.09643

Aperiodic points for outer billiards

Anton Belyi·Alexei Kanel-Belov·Philipp Rukhovich·Vladlen Timorin
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Abstract

Euclidean outer billiard on a regular polygon (that is not a triangle, square or a hexagon) has aperiodic points, i.e., points where all iterates of the outer billiard map are defined and yield pairwise distinct images. This result answers a question of R. Schwartz posed at ICM 2022.

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Anton Belyi, Alexei Kanel-Belov, Philipp Rukhovich, Vladlen Timorin. 2023-11-16. Aperiodic points for outer billiards. https://arxiv.org/abs/2311.09643

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