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Topological entropy of generalized polygon exchanges. (English) Zbl 0879.54023

Summary: 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 polytops have zero topological entropy.

MSC:

54C70 Entropy in general topology
28D20 Entropy and other invariants
37A99 Ergodic theory
52B99 Polytopes and polyhedra
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