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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
Tomáš Hejda*
Affiliation:
Department of Mathematics FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Prague, Czech Republic. tohecz@gmail.com
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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.

Keywords

Interval exchangethree interval exchangeamicable Sturmian morphismsincidence matrix of morphism
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 46 , Issue 1: Special issue dedicated to the 13th "Journées Montoises d'Informatique Théorique" , January 2012 , pp. 107 - 122
Copyright
© EDP Sciences 2012

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