The specification property on a set-valued map and its inverse limit
Dynamical Systems
2015-09-29 v1
Abstract
In this paper we consider dynamical properties of set-valued mappings and their implications on the associated inverse limit space. Specifically, we define the specification property and topological entropy for set-valued functions and prove some elementary results of these properties. We end with a few results regarding invariant measures for set-valued functions and their associated inverse limits.
Cite
@article{arxiv.1509.08415,
title = {The specification property on a set-valued map and its inverse limit},
author = {Brian Raines and Tim Tennant},
journal= {arXiv preprint arXiv:1509.08415},
year = {2015}
}