WORDS AVOIDING $\frac{7}{3}$-POWERS AND THE THUE–MORSE MORPHISM
Narad Rampersad · International Journal of Foundations of Computer Science · 2005
In 1982, Séébold 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 Séébold's result by showing that the same result holds if the term 'overlap-free' is replaced with '[Formula: see text]-power-free'. Furthermore, the number [Formula: see text] is best possible.