Birkhoff billiards are insecure
Differential Geometry
2007-05-24 v1 Dynamical Systems
Abstract
We prove that every compact plane billiard, bounded by a smooth curve, is insecure: there exist pairs of points such that no finite set of points can block all billiard trajectories from to .
Keywords
Cite
@article{arxiv.0705.3273,
title = {Birkhoff billiards are insecure},
author = {Serge Tabachnikov},
journal= {arXiv preprint arXiv:0705.3273},
year = {2007}
}