Morphisms fixing words associated with exchange of three intervals
Combinatorics
2008-11-14 v1
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.
Cite
@article{arxiv.0811.2147,
title = {Morphisms fixing words associated with exchange of three intervals},
author = {Petr Ambrož and Zuzana Masáková and Edita Pelantová},
journal= {arXiv preprint arXiv:0811.2147},
year = {2008}
}
Comments
13 pages, 5 figures