Area spectral rigidity for axially symmetric symplectic billiard tables
Baracco L, Bernardi O, Nardi A. 2026. Area spectral rigidity for axially symmetric symplectic billiard tables. Journal of Modern Dynamics. 22, 469–488.
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Author
Baracco, Luca;
Bernardi, Olga;
Nardi, AlessandraISTA
Corresponding author has ISTA affiliation
Department
Abstract
We prove that any finitely smooth, axially symmetric, strictly convex domain with everywhere positive curvature and sufficiently close to an ellipse is area spectrally rigid. This means that any area-isospectral family of domains in this class is necessarily equi-affine. We use techniques, adapted to symplectic billiards, inspired by the paper of J. De Simoi, V. Kaloshin and Q. Wei [5].
Publishing Year
Date Published
2026-07-24
Journal Title
Journal of Modern Dynamics
Publisher
American Institute of Mathematical Sciences
Volume
22
Page
469-488
ISSN
eISSN
IST-REx-ID
Cite this
Baracco L, Bernardi O, Nardi A. Area spectral rigidity for axially symmetric symplectic billiard tables. Journal of Modern Dynamics. 2026;22:469-488. doi:10.3934/jmd.2026012
Baracco, L., Bernardi, O., & Nardi, A. (2026). Area spectral rigidity for axially symmetric symplectic billiard tables. Journal of Modern Dynamics. American Institute of Mathematical Sciences. https://doi.org/10.3934/jmd.2026012
Baracco, Luca, Olga Bernardi, and Alessandra Nardi. “Area Spectral Rigidity for Axially Symmetric Symplectic Billiard Tables.” Journal of Modern Dynamics. American Institute of Mathematical Sciences, 2026. https://doi.org/10.3934/jmd.2026012.
L. Baracco, O. Bernardi, and A. Nardi, “Area spectral rigidity for axially symmetric symplectic billiard tables,” Journal of Modern Dynamics, vol. 22. American Institute of Mathematical Sciences, pp. 469–488, 2026.
Baracco L, Bernardi O, Nardi A. 2026. Area spectral rigidity for axially symmetric symplectic billiard tables. Journal of Modern Dynamics. 22, 469–488.
Baracco, Luca, et al. “Area Spectral Rigidity for Axially Symmetric Symplectic Billiard Tables.” Journal of Modern Dynamics, vol. 22, American Institute of Mathematical Sciences, 2026, pp. 469–88, doi:10.3934/jmd.2026012.
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