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incidence matrix of morphism

RAIRO - Theoretical Informatics and Applications (1)

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Morphisms preserving the set of words coding three interval exchange ∗∗∗
Tomáš Hejda
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 46 / Issue 1 / January 2012

Published online by Cambridge University Press:

21 February 2012, pp. 107-122

Print publication:

January 2012
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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.