Geodesic
Morphisms preserving the set of words coding three interval exchange
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 107-122

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Any amicable pair ϕ, ψ of Sturmian morphisms enables a construction of a ternary morphism η which preserves the set of infinite words coding 3-interval exchange. We determine the number of amicable pairs with the same incidence matrix in SL±(2,ℕ) and we study incidence matrices associated with the corresponding ternary morphisms η.

DOI : 10.1051/ita/2012009
Classification : 68R15
Keywords: interval exchange, three interval exchange, amicable sturmian morphisms, incidence matrix of morphism 
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     author = {Hejda, Tom\'a\v{s}},
     title = {Morphisms preserving the set of words coding three interval exchange},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {107--122},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {1},
     year = {2012},
     doi = {10.1051/ita/2012009},
     mrnumber = {2904964},
     zbl = {1247.68207},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2012009/}
}
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Hejda, Tomáš. Morphisms preserving the set of words coding three interval exchange. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 107-122. doi: 10.1051/ita/2012009

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