| Issue |
RAIRO-Theor. Inf. Appl.
Volume 46, Number 1, January-March 2012
Special issue dedicated to the 13th "Journées Montoises d'Informatique Théorique"
|
|
|---|---|---|
| Page(s) | 107 - 122 | |
| DOI | https://doi.org/10.1051/ita/2012009 | |
| Published online | 21 February 2012 | |
Morphisms preserving the set of words coding three interval exchange∗,∗∗
Department of Mathematics FNSPE, Czech Technical University in
Prague, Trojanova
13, 120 00
Prague, Czech
Republic
tohecz@gmail.com
Received:
2
November
2010
Accepted:
3
February
2012
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.
Mathematics Subject Classification: 68R15
Key words: Interval exchange / three interval exchange / amicable Sturmian morphisms / incidence matrix of morphism
© EDP Sciences 2012
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