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arXiv · 1603.08838

On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables

Guan Huang·Vadim Kaloshin·Alfonso Sorrentino
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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.

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Guan Huang, Vadim Kaloshin, Alfonso Sorrentino. 2016-03-29. On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables. https://doi.org/10.1215/00127094-2017-0038

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