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Topological entropy of generalized polygon exchanges (1994)

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.. Comment: 7 pages. Detailed proofs of results announced here have appeared in Ergodic Theory Dynam. Systems 17 (1997), 849-867

Publication details
Download http://arxiv.org/abs/math/9501227
Repository arXiv (United States)
Keywords Mathematics - Dynamical Systems, Mathematics - Metric Geometry
Type text