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arxiv: 1108.3640 · v1 · pith:GDOW3J7Unew · submitted 2011-08-18 · 💻 cs.FL · cs.DM

On the Delone property of (-β)-integers

classification 💻 cs.FL cs.DM
keywords integersbetarealtheyanti-morphismsbasesbeta-integersdelone
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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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