Obstructions to return preservation for episturmian morphisms

Fuente: arXiv
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Auteurs principaux: Berthé, Valérie, Goulet-Ouellet, Herman
Format: Preprint
Publié: 2024
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author Berthé, Valérie
Goulet-Ouellet, Herman
author_facet Berthé, Valérie
Goulet-Ouellet, Herman
contents 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 generalizes and improves an earlier result about Sturmian morphisms.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08072
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Obstructions to return preservation for episturmian morphisms
Berthé, Valérie
Goulet-Ouellet, Herman
Combinatorics
Discrete Mathematics
68R15 (Primary) 37B10 (Secondary)
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 generalizes and improves an earlier result about Sturmian morphisms.
title Obstructions to return preservation for episturmian morphisms
topic Combinatorics
Discrete Mathematics
68R15 (Primary) 37B10 (Secondary)
url https://arxiv.org/abs/2404.08072