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Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps

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arxiv 1711.10541 v1 pith:WWXBGGAB submitted 2017-11-28 math.DS

Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps

Vadim Kaloshin , Jianlu Zhang This is my paper
classification math.DS
keywords analyticbilliardcausticscoexistencedeformationcertaincirclecircular
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For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the necessary condition for the corresponding billiard map to keep the coexistence of periodic $2,3$ caustics is that the deformation has to be an isometric transformation.

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