2 papers
math.DS2026
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.DS2025
Birkhoff attractors for dissipative symplectic billiards
Luca Baracco, Olga Bernardi, Anna Florio +1
The aim of the present paper is to propose and study a dissipative variant of symplectic billiards within planar strictly convex domains. The associated billiard map is dissipative…