Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces
Dynamical Systems
2024-03-27 v2
Abstract
In this paper, we show that billiard orbits in rational polygons and geodesics on translation surfaces exhibit super-fast spreading, an optimal time-quantitative majority property about the corresponding linear flow that implies uniformity in almost every direction.
Keywords
Cite
@article{arxiv.2201.01959,
title = {Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces},
author = {J. Beck and W. W. L. Chen},
journal= {arXiv preprint arXiv:2201.01959},
year = {2024}
}
Comments
32 pages, 4 figures