Abelian Powers and Repetitions in Sturmian Words

Gabriele Fici, Alessio Langiu, Thierry Lecroq +4

Richomme, Saari and Zamboni (J. Lond. Math. Soc. 83: 79-95, 2011) proved that at every position of a Sturmian word starts an abelian power of exponent $k$ for every $k>0$. We imp…