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arxiv: 1712.02251 · v5 · pith:5UTBRDKGnew · submitted 2017-12-06 · 🧮 math.DS

Tree shift topological entropy

classification 🧮 math.DS
keywords entropytopologicaltreedefinitionshiftassociateddominatesexists
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We give a definition of topological entropy for tree shifts, prove that the limit in the definition exists, and show that it dominates the topological entropy of the associated one-dimensional shift of finite type when the labeling of the tree shares the same restrictions.

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