On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables

18 Jan 2017  ·  Huang Guan, Kaloshin Vadim, Sorrentino Alfonso ·

In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map, from the (maximal) marked length spectrum of the domain...

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Dynamical Systems Symplectic Geometry