Standard factors of sturmian words
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 159-174.

Among the various ways to construct a characteristic sturmian word, one of the most used consists in defining an infinite sequence of prefixes that are standard. Nevertheless in any characteristic word c, some standard words occur that are not prefixes of c. We characterize all standard words occurring in any characteristic word (and so in any sturmian word) using firstly morphisms, then standard prefixes and finally palindromes.

DOI : https://doi.org/10.1051/ita/2010011
Classification : 68R15
Mots clés : sturmian words, standard factors, morphisms, palindromes
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     author = {Richomme, Gw\'ena\"el and Saari, Kalle and Zamboni, Luca Q.},
     title = {Standard factors of sturmian words},
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     pages = {159--174},
     publisher = {EDP-Sciences},
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Richomme, Gwénaël; Saari, Kalle; Zamboni, Luca Q. Standard factors of sturmian words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 159-174. doi : 10.1051/ita/2010011. http://www.numdam.org/articles/10.1051/ita/2010011/

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