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arxiv: 1209.5344 · v1 · pith:DZIWAUOAnew · submitted 2012-09-24 · 🧮 math.DS

Topological entropy of transitive dendrite maps

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keywords dendriteentropytransitiveadmitsanswerarbitrarilyarcsbaldwin
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We show that every dendrite satisfying the condition that no subtree of it contains all free arcs admits a transitive, even exactly Devaney chaotic map with arbitrarily small entropy. This gives a partial answer to a question of Baldwin from 2001.

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