| A few remarks on periodic orbits for planar billiard tables (2006) | |||||||||
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.. Comment: 24 pages, 6 figures | |||||||||
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