Hausdorff dimension of three-period orbits in Birkhoff billiards
classification
🧮 math.DS
nlin.CD
keywords
dimensionhausdorfforbitsthree-periodbilliardsalmostbirkhoffclassical
read the original 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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