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Morphisms preserving the set of words coding three interval exchange∗∗

Published online by Cambridge University Press:  21 February 2012

Tomáš Hejda*
Affiliation:
Department of Mathematics FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Prague, Czech Republic. [email protected]
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Abstract

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.

Type
Research Article
Copyright
© EDP Sciences 2012

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