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arXiv:1112.2745 [math.DS]AbstractReferencesReviewsResources

Hausdorff dimension of three-period orbits in Birkhoff billiards

Sergei Merenkov, Vadim Zharnitsky

Published 2011-12-12Version 1

We prove that the Hausdorff dimension of the set of three-period orbits in classical billiards is at most one. Moreover, if the set of three-period orbits has Hausdorff dimension one, then it has a tangent line at almost every point.

Comments: 10 pages, 1 figure
Categories: math.DS, nlin.CD
Subjects: 37E99
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