Topological entropy of transitive dendrite maps
Dynamical Systems
2015-05-20 v1
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.
Cite
@article{arxiv.1209.5344,
title = {Topological entropy of transitive dendrite maps},
author = {Vladimír Špitalský},
journal= {arXiv preprint arXiv:1209.5344},
year = {2015}
}
Comments
26 pages, 4 figures