Dimension Groups and Dynamical Systems
Dynamical Systems
2020-12-14 v3 Formal Languages and Automata Theory
Abstract
We give a description of the link between topological dynamical systems and their dimension groups. The focus is on minimal systems and, in particular, on substitution shifts. We describe in detail the various classes of systems including Sturmian shifts and interval exchange shifts. This is a preliminary version of a book which will be published by Cambridge University Press. Any comments are of course welcome.
Cite
@article{arxiv.2007.15721,
title = {Dimension Groups and Dynamical Systems},
author = {Fabien Durand and Dominique Perrin},
journal= {arXiv preprint arXiv:2007.15721},
year = {2020}
}