On the Delone property of (-β)-integers

Details On the Delone property of (-β)-integers On the Delone property of (-β)-integers

2011-08-18

arxiv.org/abs/1108.3640v1

EPTCS 63, 2011, pp. 247-256

Computer Science

Formal Languages and Automata Theory

In Proceedings WORDS 2011, arXiv:1108.3412

Scientific paper

10.4204/EPTCS.63.31

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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