Circular critical exponents for Thue-Morse factors
Formal Languages and Automata Theory
2018-08-09 v1 Discrete Mathematics
Combinatorics
Abstract
We prove various results about the largest exponent of a repetition in a factor of the Thue-Morse word, when that factor is considered as a circular word. Our results confirm and generalize previous results of Fitzpatrick and Aberkane & Currie.
Cite
@article{arxiv.1808.02529,
title = {Circular critical exponents for Thue-Morse factors},
author = {Jeffrey Shallit and Ramin Zarifi},
journal= {arXiv preprint arXiv:1808.02529},
year = {2018}
}