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math.DS2024
Area spectral rigidity for axially symmetric symplectic billiard tables
Luca Baracco, Olga Bernardi, Alessandra Nardi
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 m…
math.DS2024
Bialy-Mironov type rigidity for centrally symmetric symplectic billiards
Luca Baracco, Olga Bernardi, Alessandra Nardi
The aim of the present paper is to establish a Bialy-Mironov type rigidity for centrally symmetric symplectic billiards. For a centrally symmetric strongly-convex domain …