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Sturm numbers and substitution invariance of 3iet words

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 نشر من قبل Zuzana Mas\\'akov\\'a
 تاريخ النشر 2007
  مجال البحث
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In this paper, we give a necessary condition for an infinite word defined by a non-degenerate interval exchange on three intervals (3iet word) to be invariant by a substitution: a natural parameter associated to this word must be a Sturm number. We deduce some algebraic consequences from this condition concerning the incidence matrix of the associated substitution. As a by-product of our proof, we give a combinatorial characterization of 3iet words.



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