A few remarks on periodic orbits for planar billiard tables

Eugene Gutkin

A few remarks on periodic orbits for planar billiard tables

Dynamical Systems 2007-05-23 v1 Analysis of PDEs

Authors: Eugene Gutkin

Abstract

I announce a solution of the conjecture about the measure of periodic points for planar billiard tables. The theorem says that if $\Om\subset\R^2$ is a compact domain with piecewise $C^3$ boundary, then the set of periodic orbits for the billiard in $\Om$ has measure zero. Here I outline a proof. A complete version will appear elsewhere.

Keywords

billiards

Cite

@article{arxiv.math/0612039,
  title  = {A few remarks on periodic orbits for planar billiard tables},
  author = {Eugene Gutkin},
  journal= {arXiv preprint arXiv:math/0612039},
  year   = {2007}
}

Comments

24 pages, 6 figures

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