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arXiv · 2605.19897

Chaoticity of generic analytic convex billiards

Inmaculada Baldomá·Anna Florio·Martin Leguil·Tere M. -Seara
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Abstract

We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number $\frac{p}{q} \in \mathbb{Q} \cap (0,1)$, all intersections between the stable and unstable manifolds of maximizing periodic orbits with rotation number $\frac{p}{q}$ are transverse.

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Inmaculada Baldomá, Anna Florio, Martin Leguil, Tere M. -Seara. 2026-05-19. Chaoticity of generic analytic convex billiards. https://arxiv.org/abs/2605.19897

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