3 papers
math.SG2026
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
math.DS2025
On the rigidity of the stable norm and Mather's β-function for geodesic flows
Anna Florio, Martin Leguil, Alfonso Sorrentino
We investigate rigidity phenomena associated to the stable norm and Mather's -function for Riemannian geodesic flows on closed manifolds. Given two metrics and , we c…
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…