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math.DS2025
Measure of maximal entropy for H-flows on non-compact manifolds
Anna Florio, Barbara Schapira, Anne Vaugon
In this work, we introduce a natural class of chaotic flows on non-compact manifolds, called H-flows, which includes geodesic flows on non-compact manifolds with pinched negative c…
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
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…