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arXiv · 2211.01843

Semicocycle discontinuities for substitutions and reverse-reading automata

Gandhar Joshi·Reem Yassawi
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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.

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Gandhar Joshi, Reem Yassawi. 2022-11-03. Semicocycle discontinuities for substitutions and reverse-reading automata. https://arxiv.org/abs/2211.01843

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