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Hausdorff dimension of three-period orbits in Birkhoff billiards

Published 12 Dec 2011 in math.DS and nlin.CD | (1112.2745v1)

Abstract: 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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