On the Delone property of (−β)-integers

Wolfgang Steiner
(LIAFA)

The (−β)-integers are natural generalisations of the β-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.

In Petr Ambrož, Štěpán Holub and Zuzana Masáková: Proceedings 8th International Conference Words 2011 (WORDS 2011), Prague, Czech Republic, 12-16th September 2011, Electronic Proceedings in Theoretical Computer Science 63, pp. 247–256.
Published: 17th August 2011.

ArXived at: http://dx.doi.org/10.4204/EPTCS.63.31 bibtex PDF
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