A two-parameter family of an extension of Beatty sequences
type: Item
instance of: scholarly article
title: A two-parameter family of an extension of Beatty sequences
zbMATH Open document ID: 1194.11030
author: S. Artstein-Avidan
author: Aviezri S. Fraenkel
author: Vera T. Sós
published in: Discrete Mathematics
publication date: 2008-09-04T00:00:00Z
review text: The authors study extensions of Beatty sequences, namely the \((s,t)\)-sequences introduced by the second author [see \textit{A. S. Fraenkel}, Ann. Comb. 2, No. 3, 197--210 (1998; Zbl 0942.91015)]. They bound the excess of elements in any two subwords of the same length (compare with the balance property for Sturmian sequences) and that each value of this excess is taken infinitely often.
reviewed by: Jean-Paul Allouche
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 68R15
zbMATH DE Number: 5321330
zbMATH Keywords: extension of Beatty sequences
zbMATH Keywords: Sturmian sequences
zbMATH Keywords: sequences of differences
zbMATH Keywords: gap structure
MaRDI profile type: Publication
full work available at URL: j.disc.2007.08.070
OpenAlex ID: W2130371621
Wikidata QID: Q103559935
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DBLP publication ID: journals/dm/Artstein-AvidanFS08
DOI: 10.1016/J.DISC.2007.08.070
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description: scientific article; zbMATH DE number 5321330