Topological entropy of generalized polygon exchanges

Gutkin, Eugene; Haydn, Nicolai

doi:10.1090/S0273-0979-1995-00555-0

Topological entropy of generalized polygon exchanges
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by Eugene Gutkin and Nicolai Haydn PDF

Bull. Amer. Math. Soc. 32 (1995), 50-56 Request permission

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 polytops have zero topological entropy.

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Generalized polygon exchanges

Topological entropy