On the Delone property of (-\beta)-integers
Formal Languages and Automata Theory
2011-08-19 v1 Discrete Mathematics
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.
Cite
@article{arxiv.1108.3640,
title = {On the Delone property of (-\beta)-integers},
author = {Wolfgang Steiner},
journal= {arXiv preprint arXiv:1108.3640},
year = {2011}
}
Comments
In Proceedings WORDS 2011, arXiv:1108.3412