Words avoiding 7/3-powers and the Thue-Morse morphism

Details Words avoiding 7/3-powers and the Thue-Morse morphism Words avoiding 7/3-powers and the Thue-Morse morphism

2003-07-31

arxiv.org/abs/math/0307401v2

Mathematics

Combinatorics

11 pages; details added for proof in section 4

Scientific paper

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.

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