A few remarks on periodic orbits for planar billiard tables

Details A few remarks on periodic orbits for planar billiard tables A few remarks on periodic orbits for planar billiard tables

2006-12-01

arxiv.org/abs/math/0612039v1

Mathematics

Dynamical Systems

24 pages, 6 figures

Scientific paper

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.

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