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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.DS2024
On the existence of periodic invariant curves for analytic families of twist maps and billiards
Corentin Fierobe, Alfonso Sorrentino
In this paper we prove that in any analytic one-parameter family of twist maps of the annulus, homotopically invariant curves filled with periodic points corresponding to a given r…