Morphisms fixing words associated with exchange of three intervals

Details Morphisms fixing words associated with exchange of three intervals Morphisms fixing words associated with exchange of three intervals

2008-11-13

arxiv.org/abs/0811.2147v1

Mathematics

Combinatorics

13 pages, 5 figures

Scientific paper

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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