Characterization of substitution invariant 3iet words

E. Pelantov\'a; P. Bal\'a\v{z}i; Z. Mas\'akov\'a

arxiv: 0709.2638 · v1 · submitted 2007-09-17 · 🧮 math.CO · math.DS

Characterization of substitution invariant 3iet words

P. Bal\'a\v{z}i , Z. Mas\'akov\'a , E. Pelantov\'a This is my paper

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keywords wordsexchangeinvariantorbitsubstitutionundercharacterizationcharacterize

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We study infinite words coding an orbit under an exchange of three intervals which have full complexity $\C(n)=2n+1$ for all $n\in\N$ (non-degenerate 3iet words). In terms of parameters of the interval exchange and the starting point of the orbit we characterize those 3iet words which are invariant under a primitive substitution. Thus, we generalize the result recently obtained for sturmian words.

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Characterization of substitution invariant 3iet words

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