On the Delone property of (−β)-integers
The (-\beta)-integers are natural generalisations of the \beta-integers, and thus of the integers, for negative real bases. They can be described by infinite words which are fixed points of anti-morphisms. We show that they are not necessarily uniformly discrete and relatively dense in the real numb...
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Veröffentlicht in: | Electronic proceedings in theoretical computer science 2011-08, Vol.63 (Proc. WORDS 2011), p.247-256 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | The (-\beta)-integers are natural generalisations of the \beta-integers, and thus of the integers, for negative real bases. They can be described by infinite words which are fixed points of anti-morphisms. We show that they are not necessarily uniformly discrete and relatively dense in the real numbers. |
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ISSN: | 2075-2180 2075-2180 |
DOI: | 10.4204/EPTCS.63.31 |