On non-periodic and non-dense billiard trajectories Part 1 and Part 2
Dynamical Systems
2015-09-10 v1
Abstract
This paper shows that the method of Galperin which had been widely accepted in the literature since 1983 for constructing a non-dense and non-periodic trajectory in a triangle can never work. This is done by showing that all possible examples that can be produced by Galperin's method of which there are infinitely many all produce a periodic trajectory.
Keywords
Cite
@article{arxiv.1509.02609,
title = {On non-periodic and non-dense billiard trajectories Part 1 and Part 2},
author = {George William Tokarsky},
journal= {arXiv preprint arXiv:1509.02609},
year = {2015}
}
Comments
92 pages, 40 figures