Geodesic
A little more about morphic sturmian words
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 3, pp. 511-518 Cet article a éte moissonné depuis la source Numdam

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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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     author = {Fagnot, Isabelle},
     title = {A little more about morphic sturmian words},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {511--518},
     year = {2006},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {3},
     doi = {10.1051/ita:2006031},
     mrnumber = {2269208},
     zbl = {1110.68118},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2006031/}
}
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Fagnot, Isabelle. A little more about morphic sturmian words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 3, pp. 511-518. doi: 10.1051/ita:2006031

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