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Cite Journal: Nonlinearity |  Publication Date: Jun 13, 2012 |
Affiliation: University of Illinois Urbana-Champaign
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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