Uniqueness of Billiard Coding in Polygons
Dynamical Systems
2021-04-12 v2
Abstract
We consider polygonal billiards and we show the uniqueness of coding of non-periodic billiard trajectories in polygons whose holes have non-zero minimal diameters, generalising a theorem of Galperin, Kr\"uger and Troubetzkoy.
Keywords
Cite
@article{arxiv.1807.03606,
title = {Uniqueness of Billiard Coding in Polygons},
author = {Yunzhe Li},
journal= {arXiv preprint arXiv:1807.03606},
year = {2021}
}
Comments
25 pages, 14 figures. The proof of main theorem has been revised. Result unchanged