Outer billiards outside regular octagon: set of full measure and an aperiodic point
Dynamical Systems
2017-12-05 v1
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.
Cite
@article{arxiv.1712.01130,
title = {Outer billiards outside regular octagon: set of full measure and an aperiodic point},
author = {Filipp Rukhovich},
journal= {arXiv preprint arXiv:1712.01130},
year = {2017}
}
Comments
11 pages (in Russian language), 4 pictures