Words avoiding 7/3-powers and the Thue-Morse morphism
Combinatorics
2007-05-23 v2
Abstract
In 1982, Seebold showed that the only overlap-free binary words that are the fixed points of non-identity morphisms are the Thue-Morse word and its complement. We strengthen Seebold's result by showing that the same result holds if the term 'overlap-free' is replaced with '7/3-power-free'. Furthermore, the number 7/3 is best possible.
Cite
@article{arxiv.math/0307401,
title = {Words avoiding 7/3-powers and the Thue-Morse morphism},
author = {Narad Rampersad},
journal= {arXiv preprint arXiv:math/0307401},
year = {2007}
}
Comments
11 pages; details added for proof in section 4