Characterization of substitution invariant 3iet words

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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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Combinatorics, Dynamical Systems, 68R15

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http://salesiana.dossiersoluciones.com/handle/123456789/138148

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2638
 http://arxiv.org/abs/0709.2638

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arXiv