A few remarks on periodic orbits for planar billiard tables
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 ⊂2 is a compact domain with piecewise C3 boundary, then the set of periodic orbits for the billiard in has measure zero. Here I outline a proof. A complete version will appear elsewhere.
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