English

Obstructions to return preservation for episturmian morphisms

Combinatorics 2024-08-02 v2 Discrete Mathematics

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.

Cite

@article{arxiv.2404.08072,
  title  = {Obstructions to return preservation for episturmian morphisms},
  author = {Valérie Berthé and Herman Goulet-Ouellet},
  journal= {arXiv preprint arXiv:2404.08072},
  year   = {2024}
}
R2 v1 2026-06-28T15:51:50.403Z