A little more about morphic sturmian words
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 40 (2006) no. 3, pp. 511-518.

Among sturmian words, some of them are morphic, i.e. fixed point of a non-identical morphism on words. Berstel and Séébold (1993) have shown that if a characteristic sturmian word is morphic, then it can be extended by the left with one or two letters in such a way that it remains morphic and sturmian. Yasutomi (1997) has proved that these were the sole possible additions and that, if we cut the first letters of such a word, it didn't remain morphic. In this paper, we give an elementary and combinatorial proof of this result.

DOI: 10.1051/ita:2006031
Classification: 68R15, 68Q45
Keywords: sturmian words, infinite words, iterated morphisms, combinatorics of words
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Fagnot, Isabelle. A little more about morphic sturmian words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 40 (2006) no. 3, pp. 511-518. doi : 10.1051/ita:2006031. http://www.numdam.org/articles/10.1051/ita:2006031/

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