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arXiv · 1905.00890

Marked Length Spectral determination of analytic chaotic billiards with axial symmetries

Jacopo De Simoi·Vadim Kaloshin·Martin Leguil
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Abstract

We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which provides a natural labeling of periodic orbits. We show that under suitable symmetry and genericity assumptions, the Marked Length Spectrum determines the geometry of the billiard table.

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Jacopo De Simoi, Vadim Kaloshin, Martin Leguil. 2019-05-02. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. https://doi.org/10.1007/s00222-023-01191-8

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