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arXiv · 0811.2147

Morphisms fixing words associated with exchange of three intervals

Petr Ambrož·Zuzana Masáková·Edita Pelantová
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Abstract

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.

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Petr Ambrož, Zuzana Masáková, Edita Pelantová. 2008-11-13. Morphisms fixing words associated with exchange of three intervals. https://arxiv.org/abs/0811.2147

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