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dc.contributor.authorMessaoudi, A.-
dc.identifier.citationComptes Rendus Mathematique. Paris Cedex 15: Editions Scientifiques Medicales Elsevier, v. 334, n. 12, p. 1043-1046, 2002.-
dc.description.abstractLet beta be an hyperbolic algebraic integer of modulus greater than 1. Lot A be a finite set of Q[beta] and D-beta = {(a(i), b(i))(igreater than or equal to0) is an element of (A x A)(N) \ Sigma(i=0)(infinity) a(i)beta(-i)}. We give a necessary and sufficient condition for D-beta to be sofic. As a consequence, we obtain a result due to Thurston (see Corollary 1). We also treat the case where the set of digits A is given by the greedy algorithm and study the connection with the beta-shift. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.en
dc.publisherElsevier B.V.-
dc.sourceWeb of Science-
dc.titleSystèmes de numération et automatesfr
dc.title.alternativeNumeration systems and automataen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationUNESP, Dept Matemat, FEIS, BR-15385000 Ilha Solteira, SP, Brazil-
dc.description.affiliationUnespUNESP, Dept Matemat, FEIS, BR-15385000 Ilha Solteira, SP, Brazil-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofComptes Rendus Mathematique-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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