Topological entropy of m-fold maps on trees
Dynamical Systems
2009-09-29 v1
Abstract
We establish the analogue for maps on trees of the result established in two papers by the first author for interval maps, that a continuous self- map for which all but countably many points have at least m preimages (and none have less than two) has topological entropy bounded below by log m.
Cite
@article{arxiv.math/0609299,
title = {Topological entropy of m-fold maps on trees},
author = {Jozef Bobok and Zbigniew Nitecki},
journal= {arXiv preprint arXiv:math/0609299},
year = {2009}
}
Comments
34 pages, to appear in Ergodic Theory and Dynamical Systems