English

Words with unbounded periodicity complexity

Formal Languages and Automata Theory 2019-12-18 v2 Combinatorics

Abstract

If an infinite non-periodic word is uniformly recurrent or is of bounded repetition, then the limit of its periodicity complexity is infinity. Moreover, there are uniformly recurrent words with the periodicity complexity arbitrarily high at infinitely many positions.

Keywords

Cite

@article{arxiv.1306.3123,
  title  = {Words with unbounded periodicity complexity},
  author = {Štěpán Holub},
  journal= {arXiv preprint arXiv:1306.3123},
  year   = {2019}
}

Comments

some references adjusted

R2 v1 2026-06-22T00:33:20.718Z