English

Characterization of substitution invariant 3iet words

Combinatorics 2007-09-18 v1 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.0709.2638,
  title  = {Characterization of substitution invariant 3iet words},
  author = {P. Baláži and Z. Masáková and E. Pelantová},
  journal= {arXiv preprint arXiv:0709.2638},
  year   = {2007}
}
R2 v1 2026-06-21T09:18:19.669Z