Flow equivalence of sofic shifts
Dynamical Systems
2018-10-08 v2
Abstract
We classify certain sofic shifts (the irreducible Point Extension Type, or PET, sofic shifts) up to flow equivalence, using invariants of the canonical Fischer cover. There are two main ingredients: (1) An extension theorem, for extending flow equivalences of subshifts to flow equivalent irreducible shifts of finite type which contain them. (2) The classification of certain constant to one maps from SFTs via algebraic invariants of associated G-SFTs.
Keywords
Cite
@article{arxiv.1511.03481,
title = {Flow equivalence of sofic shifts},
author = {Mike Boyle and Toke Meier Carlsen and Søren Eilers},
journal= {arXiv preprint arXiv:1511.03481},
year = {2018}
}
Comments
30 pages