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Hausdorff dimension of three-period orbits in Birkhoff billiards

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 نشر من قبل Vadim Zharnitsky
 تاريخ النشر 2011
  مجال البحث فيزياء
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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.



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