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Obstructions to Return Preservation for Episturmian Morphisms

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Abstract

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.

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Acknowledgements

The authors warmly thank the referees who helped us to improve the previous version of this paper.

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Correspondence to Valérie Berthé.

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This work was supported by the Agence Nationale de la Recherche through the project SymDynAr (ANR-23-CE40-0024-01). The second author was supported by the CTU Global Postdoc Fellowship program.

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Berthé, V., Goulet-Ouellet, H. Obstructions to Return Preservation for Episturmian Morphisms. Theory Comput Syst (2024). https://doi.org/10.1007/s00224-024-10190-y

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