Sturm numbers and substitution invariance of 3iet words

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dc.creatorArnoux, Pierre
dc.creatorBerthé, Valérie
dc.creatorMasáková, Zuzana
dc.creatorPelantová, Edita
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:42Z
dc.date.available2026-07-07T08:39:42Z
dc.descriptionIn 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.
dc.description13pages
dc.identifierhttps://arxiv.org/abs/0710.5845
dc.identifierhttp://arxiv.org/abs/0710.5845
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141164
dc.subjectCombinatorics
dc.subjectDynamical Systems
dc.subject68R15
dc.titleSturm numbers and substitution invariance of 3iet words
dc.typetext

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