Elliptic non-degeneracy and spectral rigidity of classical billiards
Dynamical Systems
2024-01-31 v1 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2401.16510,
title = {Elliptic non-degeneracy and spectral rigidity of classical billiards},
author = {Georgi Popov and Peter Topalov},
journal= {arXiv preprint arXiv:2401.16510},
year = {2024}
}