Topological entropy of generalized polygon exchanges
Dynamical Systems
2008-02-03 v1 Metric Geometry
Abstract
We obtain geometric upper bounds on the topological entropy of generalized polygon exchange transformations. As an application of our results, we show that billiards in polygons and rational polytopes have zero topological entropy.
Cite
@article{arxiv.math/9501227,
title = {Topological entropy of generalized polygon exchanges},
author = {Eugene Gutkin and Nicolai Haydn},
journal= {arXiv preprint arXiv:math/9501227},
year = {2008}
}
Comments
7 pages. Detailed proofs of results announced here have appeared in Ergodic Theory Dynam. Systems 17 (1997), 849-867