Weak-mixing polygonal billiards
Dynamical Systems
2017-05-04 v1
Abstract
We consider the set of polygons all of whose sides are vertical or horizontal with fixed combinatorics (for example all the figure "L"s). We show that there is a dense G subset of such polygons such that for each polygon in this G set the billiard flow is weakly-mixing in almost every direction.
Keywords
Cite
@article{arxiv.1604.06348,
title = {Weak-mixing polygonal billiards},
author = {Alba Málaga Sabogal and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:1604.06348},
year = {2017}
}