Geodesic
Morphisms fixing words associated with exchange of three intervals
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 3-17

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We consider words coding exchange of three intervals with permutation (3,2,1), here called 3iet words. Recently, a characterization of substitution invariant 3iet words was provided. We study the opposite question: what are the morphisms fixing a 3iet word? We reveal a narrow connection of such morphisms and morphisms fixing sturmian words using the new notion of amicability.

DOI : 10.1051/ita/2010002
Classification : 68R15, 08A50
Keywords: interval exchange transformation, sturmian morphisms, substitution invariance 
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     title = {Morphisms fixing words associated with exchange of three intervals},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {3--17},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {1},
     year = {2010},
     doi = {10.1051/ita/2010002},
     mrnumber = {2604932},
     zbl = {1186.68342},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2010002/}
}
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Ambrož, Petr; Masáková, Zuzana; Pelantová, Edita. Morphisms fixing words associated with exchange of three intervals. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 3-17. doi: 10.1051/ita/2010002

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