Finite rank Bratteli--Vershik homeomorphisms are expansive
Dynamical Systems
2016-08-22 v3
Abstract
Downarowicz and Maass (2008) have shown that every Cantor minimal homeomorphism with finite topological rank is expansive. Bezuglyi, Kwiatkowski, and Medynets (2009) extended the result to non-minimal aperiodic cases. In this paper, we show that all finite-rank zero-dimensional systems are expansive or have infinite odometer systems; this is an extension of the two aforementioned results. Nevertheless, the methods follow similar approaches.
Cite
@article{arxiv.1606.00296,
title = {Finite rank Bratteli--Vershik homeomorphisms are expansive},
author = {Takashi Shimomura},
journal= {arXiv preprint arXiv:1606.00296},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1506.07666