2 papers
math.DS2025
Isoperimetric-type inequalities for Mather's -function of convex billiards
Stefano Baranzini, Misha Bialy, Alfonso Sorrentino
In this article we discuss pointwise spectral rigidity results for several billiard systems (e.g., Birkhoff billiards, symplectic billiards and -th billiards), showing that a si…
math.DS2025
Billiards with singular invariant curves
Stefano Baranzini
We investigate the regularity of invariant curves of rotation number for a special class of symplectic twist maps of the annulus, billiard maps. We construct strictly convex…