Aperiodic points for outer billiards
Dynamical Systems
2026-05-05 v5 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2311.09643,
title = {Aperiodic points for outer billiards},
author = {Anton Belyi and Alexei Kanel-Belov and Philipp Rukhovich and Vladlen Timorin},
journal= {arXiv preprint arXiv:2311.09643},
year = {2026}
}
Comments
37 pages, 9 figures