English

Letter frequency vs factor frequency in pure morphic words

Combinatorics 2024-05-30 v1

Abstract

We prove that, for any pure morphic word ww, if the frequencies of all letters in ww exist, then the frequencies of all factors in ww exist as well. This result answers a question of Saari in his doctoral thesis.

Keywords

Cite

@article{arxiv.2405.18696,
  title  = {Letter frequency vs factor frequency in pure morphic words},
  author = {Shuo Li},
  journal= {arXiv preprint arXiv:2405.18696},
  year   = {2024}
}
R2 v1 2026-06-28T16:44:56.334Z