English

Common factors in automatic and Sturmian sequences

Combinatorics 2018-02-02 v1 Formal Languages and Automata Theory

Abstract

In this short note we show that a k-automatic sequence and a Sturmian sequence cannot have arbitrarily large factors in common.

Cite

@article{arxiv.1802.00325,
  title  = {Common factors in automatic and Sturmian sequences},
  author = {Narad Rampersad and Jeffrey Shallit},
  journal= {arXiv preprint arXiv:1802.00325},
  year   = {2018}
}
R2 v1 2026-06-23T00:07:38.041Z