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
1. Verfasser: Steiner, Wolfgang
Format: Artikel
Sprache:eng
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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.
ISSN:2075-2180
2075-2180
DOI:10.4204/EPTCS.63.31