Standard factors of Sturmian words

Gwénaël Richomme, Kalle Saari, Luca Q. Zamboni
2010 RAIRO - Theoretical Informatics and Applications  
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. Mathematics Subject Classification. 68R15.
doi:10.1051/ita/2010011 fatcat:4tksuan5afahjobqnzeuisgpq4