Semicocycle discontinuities for substitutions and reverse-reading automata
Dynamical Systems
2023-03-15 v2
Abstract
In this article we define the semigroup associated to a substitution. We use it to construct a minimal automaton which generates a substitution sequence u in reverse reading. We show, in the case where the substitution has a coincidence, that this automaton completely describes the semicocycle discontinuities of u.
Cite
@article{arxiv.2211.01843,
title = {Semicocycle discontinuities for substitutions and reverse-reading automata},
author = {Gandhar Joshi and Reem Yassawi},
journal= {arXiv preprint arXiv:2211.01843},
year = {2023}
}
Comments
17 pages, 2 figures. This second version is re-written and improved