Semicocycle discontinuities for substitutions and reverse-reading automata

Joshi, Gandhar and Yassawi, Reem (2023). Semicocycle discontinuities for substitutions and reverse-reading automata. Indagationes Mathematicae (Early Access).

DOI: https://doi.org/10.1016/j.indag.2023.05.003

Abstract

In this article we define the semigroup associated to a primitive 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.

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