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Topological entropy of generalized polygon exchanges


Authors: Eugene Gutkin and Nicolai Haydn
Journal: Bull. Amer. Math. Soc. 32 (1995), 50-56
MSC: Primary 58F11; Secondary 54H20, 58F99
DOI: https://doi.org/10.1090/S0273-0979-1995-00555-0
MathSciNet review: 1273398
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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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Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1995-00555-0
Keywords: Polygon exchange, entropy, billiard dynamics
Article copyright: © Copyright 1995 American Mathematical Society

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