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On the Delone property of (-β)-integers

Published 18 Aug 2011 in cs.FL and cs.DM | (1108.3640v1)

Abstract: 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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