Repeatable words for substitution

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Characterization of substitution invariant 3iet words

We study infinite words coding an orbit under an exchange of three intervals which have full complexity C(n) = 2n + 1 for all n ∈ 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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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1987

ISSN: 0304-3975

DOI: 10.1016/0304-3975(87)90072-7