English

Translation algorithms for graph covers

Dynamical Systems 2024-09-24 v2

Abstract

Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensional compact set can be expressed by a graph cover (e.g.\ non-minimality or aperiodicty are no restrictions). We give a survey on the construction, properties and some special cases of graph covers.

Keywords

Cite

@article{arxiv.2310.20291,
  title  = {Translation algorithms for graph covers},
  author = {Jan Boroński and Henk Bruin and Przemysław Kucharski},
  journal= {arXiv preprint arXiv:2310.20291},
  year   = {2024}
}

Comments

Included corrections done at revision of the paper (in Fund. Math.)

R2 v1 2026-06-28T13:07:08.656Z