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arXiv · 1509.02609

On non-periodic and non-dense billiard trajectories Part 1 and Part 2

George William Tokarsky
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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.

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George William Tokarsky. 2015-09-09. On non-periodic and non-dense billiard trajectories Part 1 and Part 2. https://arxiv.org/abs/1509.02609

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