Examples of reflective projective billiards and outer ghost billiards
Dynamical Systems
2020-04-14 v2
Abstract
In the class of projective billiards, which contains the usual billiards, we exhibit counter-examples to Ivrii's conjecture, which states that in any planar billiard with smooth boundary the set of periodic orbits has zero measure. The counter-examples are polygons admitting a -parameters family of -periodic orbits, with being either or any even number grower than .
Keywords
Cite
@article{arxiv.2002.09845,
title = {Examples of reflective projective billiards and outer ghost billiards},
author = {Corentin Fierobe},
journal= {arXiv preprint arXiv:2002.09845},
year = {2020}
}