5 papers · 1 filter
Chaoticity of generic analytic convex billiards
Inmaculada Baldomá, Anna Florio, Martin Leguil +1
We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number , all intersecti…
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…
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…
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…
Birkhoff attractors of dissipative billiards
Olga Bernardi, Anna Florio, Martin Leguil
We study the dynamics of dissipative billiard maps within planar convex domains. Such maps have a global attractor. We are interested in the topological and dynamical complexity of…