Tree shift topological entropy
Dynamical Systems
2018-05-29 v5
Abstract
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.
Cite
@article{arxiv.1712.02251,
title = {Tree shift topological entropy},
author = {Karl Petersen and Ibrahim Salama},
journal= {arXiv preprint arXiv:1712.02251},
year = {2018}
}
Comments
Final version (with changed title), to appear in Theoretical Computer Science