Hausdorff dimension of three-period orbits in Birkhoff billiards
published by Vadim Zharnitsky
in 2011
and research's language is
English
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Abstract in English
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.