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تسجيل مستخدم جديدCoexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps
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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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