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.
Mots clés : interval exchange, three interval exchange, amicable sturmian morphisms, incidence matrix of morphism
@article{ITA_2012__46_1_107_0,
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://archive.numdam.org/articles/10.1051/ita/2012009/}
}
TY - JOUR AU - Hejda, Tomáš TI - Morphisms preserving the set of words coding three interval exchange JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2012 SP - 107 EP - 122 VL - 46 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita/2012009/ DO - 10.1051/ita/2012009 LA - en ID - ITA_2012__46_1_107_0 ER -
%0 Journal Article %A Hejda, Tomáš %T Morphisms preserving the set of words coding three interval exchange %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2012 %P 107-122 %V 46 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita/2012009/ %R 10.1051/ita/2012009 %G en %F ITA_2012__46_1_107_0
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. http://archive.numdam.org/articles/10.1051/ita/2012009/
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