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math.CO2024
Obstructions to return preservation for episturmian morphisms
Valérie Berthé, Herman Goulet-Ouellet
This paper studies obstructions to preservation of return sets by episturmian morphisms. We show, by way of an explicit construction, that infinitely many obstructions exist. This…
math.CO2021★ 3 cited
Suffix-connected languages
Herman Goulet-Ouellet
Inspired by a series of papers initiated in 2015 by Berthé et al., we introduce a new condition called suffix-connectedness. We show that the groups generated by the return sets of…