| Issue |
RAIRO-Theor. Inf. Appl.
Volume 44, Number 1, January-March 2010
Special issue dedicated to the 12th "Journées Montoises d'Informatique Théorique"
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|---|---|---|
| Page(s) | 3 - 17 | |
| DOI | https://doi.org/10.1051/ita/2010002 | |
| Published online | 11 February 2010 | |
Morphisms fixing words associated with exchange of three intervals
Doppler Institute & Department of Mathematics, FNSPE, Czech
Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic; petr.ambroz@fjfi.cvut.cz; zuzana.masakova@fjfi.cvut.cz; edita.pelantova@fjfi.cvut.cz
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.
Mathematics Subject Classification: 68R15 / 08A50
Key words: Interval exchange transformation / Sturmian morphisms / substitution invariance.
© EDP Sciences, 2010
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