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math.DS2024
Deformational spectral rigidity of axially-symmetric symplectic billiards
Corentin Fierobe, Alfonso Sorrentino, Amir Vig
Symplectic billiards were introduced by Albers and Tabachnikov as billiards in strictly convex bounded domains of the plane with smooth boundary having a specific law of reflection…
math.DS2023
Compactness of Marked Length Isospectral Sets of Birkhoff Billiard Tables
Amir Vig
We prove that equivalence classes of marked length isospectral Birkhoff billiard tables are compact in the topology, analogous to the Laplace spectral results of Melrose…