most citedCompactness of Marked Length Isospectral Sets of Birkhoff Billiard Tables

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math.DS2026★ 1 cited

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…

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…