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Standard Factors of Sturmian Words
Journal article   Open access   Peer reviewed

Standard Factors of Sturmian Words

Gwenaël Richomme, Kalle Saari and Luca Q. Zamboni
RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), Vol.44(1), pp.159-174
2010

Abstract

Sturmian words standard factors morphisms palindromes 68R15
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.
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