Horns in Billiards
Dynamical Systems
2026-02-26 v1
Abstract
We show that, like cusps, horns in billiards expel every trajectory after finitely many collisions. We further produce an adiabatic invariant.
Keywords
Cite
@article{arxiv.2602.21347,
title = {Horns in Billiards},
author = {David de Frutos Ostrander and Boris Hasselblatt and Mark Levi},
journal= {arXiv preprint arXiv:2602.21347},
year = {2026}
}
Comments
8 pages, 4 figures