Periodic codings of Bratteli-Vershik systems
Dynamical Systems
2020-03-16 v3
Abstract
We develop conditions for the coding of a Bratteli-Vershik system according to initial path segments to be periodic, equivalently for a constructive symbolic recursive scheme corresponding to a cutting and stacking process to produce a periodic sequence. This is a step toward understanding when a Bratteli-Vershik system can be essentially faithfully represented by means of a natural coding as a subshift on a finite alphabet.
Keywords
Cite
@article{arxiv.1812.05680,
title = {Periodic codings of Bratteli-Vershik systems},
author = {Sarah Frick and Karl Petersen and Sandi Shields},
journal= {arXiv preprint arXiv:1812.05680},
year = {2020}
}
Comments
Fixed a few typos. Version to appear in Mathematica Scandinavica