Frequencies of Sturmian series factors
Theoretical Computer Science
Episturmian words and some constructions of de Luca and Rauzy
Theoretical Computer Science
A chararcterization of sturmian words by return words
European Journal of Combinatorics
Generalized balances in Sturmian words
Discrete Applied Mathematics
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
Automatic Sequences: Theory, Applications, Generalizations
Automatic Sequences: Theory, Applications, Generalizations
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Michaux and Villemaire's proof of Cobham's theorem relies on the characterization of ultimately periodic words by means of the behaviour of certain repetitions in the word. Namely, they consider the length of the smallest shift between repetitions of a given length and the first position at which that smallest shift is observed. In this paper we study those properties for characteristic Sturmian words. In particular we answer a question posed by Michaux and Villemaire in that context.