Parking garages with optimal dynamics
Dynamical Systems
2011-01-20 v1
Abstract
We construct generalized polygons (`parking garages') in which the billiard flow satisfies the Veech dichotomy, although the associated translation surface obtained from the Zemlyakov-Katok unfolding is not a lattice surface. We also explain the difficulties in constructing a genuine polygon with these properties.
Cite
@article{arxiv.1101.3772,
title = {Parking garages with optimal dynamics},
author = {Meital Cohen and Barak Weiss},
journal= {arXiv preprint arXiv:1101.3772},
year = {2011}
}