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cs.DM2015
A square root map on Sturmian words
Jarkko Peltomäki, Markus Whiteland
We introduce a square root map on Sturmian words and study its properties. Given a Sturmian word of slope , there exists exactly six minimal squares in its language (a minimal s…
math.CO2015
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 for every . We imp…