Finite-rank Bratteli-Vershik diagrams are expansive -- a new proof
Dynamical Systems
2017-05-31 v1
Abstract
In the paper "Finite-rank Bratteli-Vershik diagrams are expansive" [DM], Downarowicz and Maass proved that the Cantor minimal system associated to a properly ordered Bratteli diagram of finite rank is either an odometer system or an expansive system. We give a new proof of this truly remarkable result which we think is more transparent and easier to understand. We also address the question (QUESTION 1) raised in [DM] and we find a better (i.e. lower) bound than the one given in [DM]. In fact, we conjecture that the bound we have found is optimal.
Keywords
Cite
@article{arxiv.1411.3371,
title = {Finite-rank Bratteli-Vershik diagrams are expansive -- a new proof},
author = {Siri-Malén Høynes},
journal= {arXiv preprint arXiv:1411.3371},
year = {2017}
}
Comments
13 pages, 5 figures