Topological entropy of transitive dendrite maps

Abstract

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.

26 pages, 4 figures

References in corpus (2)

• Dynamical consequences of a free interval: minimality, transitivity, mixing and topological entropy
• Topological structure and entropy of mixing graph maps

Cited by in corpus (1)

• Transitive dendrite map with zero entropy