Elliptic non-degeneracy and spectral rigidity of classical billiards
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910311003455488 |
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| author | Popov, Georgi Topalov, Peter |
| author_facet | Popov, Georgi Topalov, Peter |
| contents | In this paper we show that the billiard ball map of the Liouville billiard tables of classical type on the ellipsoid is non-degenerate at the elliptic fixed point. As a corollary we obtain a spectral rigidity result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Elliptic non-degeneracy and spectral rigidity of classical billiards Popov, Georgi Topalov, Peter Dynamical Systems Spectral Theory 37J12, 37J35, 37J70, 35P20, 53D25 In this paper we show that the billiard ball map of the Liouville billiard tables of classical type on the ellipsoid is non-degenerate at the elliptic fixed point. As a corollary we obtain a spectral rigidity result. |
| title | Elliptic non-degeneracy and spectral rigidity of classical billiards |
| topic | Dynamical Systems Spectral Theory 37J12, 37J35, 37J70, 35P20, 53D25 |
| url | https://arxiv.org/abs/2401.16510 |