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Topological entropy of generalized polygon exchanges
Author(s):
Eugene
Gutkin;
Nicolai
Haydn
Journal:
Bull. Amer. Math. Soc.
32
(1995),
50-56.
MathSciNet review:
1273398
Retrieve article in:
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Abstract |
References |
Additional information
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:
10.1090/S0273-0979-1995-00555-0
PII:
S 0273-0979(1995)00555-0
Keywords:
Polygon exchange,
entropy,
billiard dynamics
Copyright of article:
Copyright
1995,
American Mathematical Society
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