English

Latin Square Thue-Morse Sequences are Overlap-Free

Number Theory 2007-10-31 v3

Abstract

We define a morphism based upon a Latin square that generalizes the Thue-Morse morphism. We prove that fixed points of this morphism are overlap-free sequences generalizing results of Allouche - Shallit and Frid.

Cite

@article{arxiv.0706.0907,
  title  = {Latin Square Thue-Morse Sequences are Overlap-Free},
  author = {C. Robinson Tompkins},
  journal= {arXiv preprint arXiv:0706.0907},
  year   = {2007}
}
R2 v1 2026-06-21T08:36:00.521Z