Topological entropy for partial actions of the group $\mathbb Z$
Dynamical Systems
2021-07-30 v5
Abstract
In this paper we introduce the definition of entropy for a partial -action. We show that the definition of partial entropy is an extension of the definition of topological entropy for a -action. We also prove that the partial topological entropy is concentrated on the non-wandering set.
Keywords
Cite
@article{arxiv.1509.06014,
title = {Topological entropy for partial actions of the group $\mathbb Z$},
author = {A. Baraviera and Daniel Gonçalves and Danilo Royer and Ruy Exel and Fagner B. Rodrigues},
journal= {arXiv preprint arXiv:1509.06014},
year = {2021}
}