A few remarks on periodic orbits for planar billiard tables

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dc.creatorGutkin, Eugene
dc.date2006-12-01
dc.date.accessioned2026-07-07T07:34:34Z
dc.date.available2026-07-07T07:34:34Z
dc.descriptionI 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.
dc.description24 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0612039
dc.identifierhttp://arxiv.org/abs/math/0612039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119810
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.titleA few remarks on periodic orbits for planar billiard tables
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