Topological entropy of generalized polygon exchanges
classification
🧮 math.DS
math.MG
keywords
entropytopologicalgeneralizedpolygonapplicationbilliardsboundsexchange
read the original 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.
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