Tere M.-Seara

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math.DS2026

Chaoticity of generic analytic convex billiards

Inmaculada BaldomÃ¡, 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 $\frac{p}{q} \in Q \cap (0, 1)$ , all intersecti…

math.DS2025

Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps

Marian Gidea, Rafael de la Llave, Tere M-Seara

Conformally symplectic diffeomorphisms $f : M \to M$ transform a symplectic form $I ¨ $ on a manifold M into a multiple of itself, $f^{*} I ¨ = I^\cdot I ¨ $ . We assume $I ¨ $ is bounded, as…