On the Delone property of (−β)-integers
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....
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| Format: | Article |
| Language: | English |
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Open Publishing Association
2011-08-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1108.3640v1 |
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doaj-0a515baf0e3c418e8c88a12683f25480 |
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doaj-0a515baf0e3c418e8c88a12683f254802020-11-25T01:22:17ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802011-08-0163Proc. WORDS 201124725610.4204/EPTCS.63.31On the Delone property of (−β)-integersWolfgang SteinerThe (−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. http://arxiv.org/pdf/1108.3640v1 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wolfgang Steiner |
| spellingShingle |
Wolfgang Steiner On the Delone property of (−β)-integers Electronic Proceedings in Theoretical Computer Science |
| author_facet |
Wolfgang Steiner |
| author_sort |
Wolfgang Steiner |
| title |
On the Delone property of (−β)-integers |
| title_short |
On the Delone property of (−β)-integers |
| title_full |
On the Delone property of (−β)-integers |
| title_fullStr |
On the Delone property of (−β)-integers |
| title_full_unstemmed |
On the Delone property of (−β)-integers |
| title_sort |
on the delone property of (−β)-integers |
| publisher |
Open Publishing Association |
| series |
Electronic Proceedings in Theoretical Computer Science |
| issn |
2075-2180 |
| publishDate |
2011-08-01 |
| description |
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. |
| url |
http://arxiv.org/pdf/1108.3640v1 |
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