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interval exchange transformation

RAIRO - Theoretical Informatics and Applications (1)

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Morphisms fixing words associated with exchange of three intervals
Petr Ambrož, Zuzana Masáková, Edita Pelantová
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 44 / Issue 1 / January 2010

Published online by Cambridge University Press:

11 February 2010, pp. 3-17

Print publication:

January 2010
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We consider words coding exchange of three intervals with permutation (3,2,1), here called 3iet words. Recently, a characterization of substitution invariant 3iet words was provided. We study the opposite question: what are the morphisms fixing a 3iet word? We reveal a narrow connection of such morphisms and morphisms fixing Sturmian words using the new notion of amicability.