Odometer Based Systems
Dynamical Systems
2020-09-23 v1
Abstract
Construction sequences are a general method of building symbolic shifts that capture cut-and-stack constructions and are general enough to give symbolic representations of Anosov-Katok diffeomorphisms. We show here that any finite entropy system that has an odometer factor can be represented as a special class of construction sequences, the odometer based construction sequences which correspond to those cut-and-stack constructions that do not use spacers. We also show that any additional property called the "small word condition" can also be satisfied in a uniform way.
Cite
@article{arxiv.2009.10162,
title = {Odometer Based Systems},
author = {Matthew Foreman and Benjamin Weiss},
journal= {arXiv preprint arXiv:2009.10162},
year = {2020}
}