Relation between powers of factors and recurrence function characterizing Sturmian words

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dc.creatorMasáková, Zuzana
dc.creatorPelantová, Edita
dc.date2008-09-03
dc.date2008-09-05
dc.date.accessioned2026-07-07T10:00:36Z
dc.date.available2026-07-07T10:00:36Z
dc.descriptionIn this paper we use the relation of the index of an infinite aperiodic word and its recurrence function to give another characterization of Sturmian words. As a byproduct, we give a new proof of theorem describing the index of a Sturmian word in terms of the continued fraction expansion of its slope. This theorem was independently proved by Carpi and de Luca, and Damanik and Lenz.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0809.0603
dc.identifierhttp://arxiv.org/abs/0809.0603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168363
dc.subjectCombinatorics
dc.subjectDynamical Systems
dc.subject68R15
dc.titleRelation between powers of factors and recurrence function characterizing Sturmian words
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