Density of wave fronts
Differential Geometry
2026-01-14 v4 Dynamical Systems
Abstract
We prove that wave fronts on a flat torus become dense. As a corollary, wave fronts become dense for a square billiard or for the geodesic flow on the flat Klein bottle or the cube surface.
Keywords
Cite
@article{arxiv.2501.14611,
title = {Density of wave fronts},
author = {Emily Kang and Oliver Knill},
journal= {arXiv preprint arXiv:2501.14611},
year = {2026}
}
Comments
19 pages, 11 figures, revised and corrected