Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards
Dynamical Systems
2012-12-03 v2
Abstract
We introduce the class of piecewise convex transformations, and study their complexity. We apply the results to the complexity of polygonal billiards on surfaces of constant curvature.
Keywords
Cite
@article{arxiv.math/0412335,
title = {Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards},
author = {E. Gutkin and S. Tabachnikov},
journal= {arXiv preprint arXiv:math/0412335},
year = {2012}
}
Comments
references added, typos corrected