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Binary Morphisms to Ultimately Periodic Words

Discrete Mathematics 2008-05-12 v1

Abstract

This paper classifies binary morphisms that map to ultimately periodic words. In particular, if a morphism h maps an infinite non-ultimately periodic word to an ultimately periodic word then it must be true that h(0) commutes with h(1).

Cite

@article{arxiv.0805.1373,
  title  = {Binary Morphisms to Ultimately Periodic Words},
  author = {Brendan Lucier},
  journal= {arXiv preprint arXiv:0805.1373},
  year   = {2008}
}

Comments

2 pages, working paper

R2 v1 2026-06-21T10:39:00.630Z