Characterization of substitution invariant 3iet words
Abstract
We study infinite words coding an orbit under an exchange of three intervals which have full complexity (n)=2n+1 for all 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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