On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables

Abstract

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.

25 pages, 3 figures. (This version has been revised in the light of the referee's report). arXiv admin note: text overlap with arXiv:1309.1008

References in corpus (1)

• Homoclinic points for convex billiards

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• Travelling Times in Scattering by Obstacles in Curved Space