A two-parameter family of an extension of Beatty sequences (Q941402)
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scientific article; zbMATH DE number 5321330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A two-parameter family of an extension of Beatty sequences |
scientific article; zbMATH DE number 5321330 |
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A two-parameter family of an extension of Beatty sequences (English)
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4 September 2008
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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.
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extension of Beatty sequences
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Sturmian sequences
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sequences of differences
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gap structure
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0.8573807
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0.8484089
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0.8471823
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0.8434347
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0.84297997
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0.84204507
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0.8405843
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