Horns in Billiards

arXiv (Cornell University) 2026 Preprint Open access

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Authors: David de Frutos Ostrander, Boris Hasselblatt, Mark Levi
DOI: 10.48550/arxiv.2602.21347
Cited by: 0

Abstract

We show that, like cusps, horns in billiards expel every trajectory after finitely many collisions. We further produce an adiabatic invariant.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems Mathematics and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
24 February 2026
Language
EN
Document type
Preprint