| Thème(s) : |
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Mathématiques/Physique mathématique
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| Titre : |
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Asymptotic Behavior of Beta-Integers |
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| Auteur : |
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L. Balková1, J.-P. Gazeau1, E. Pelantová |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - THEORIE |
| Résumé : |
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Beta-integers ("β-integers") are those numbers which are the counterparts of integers when real numbers are expressed in an irrational base β > 1. In quasicrystalline studies, β-integers supersede the "crystallographic" ordinary integers. When the number β is a Parry number, the corresponding β-integers realize only a finite number of distances between consecutive elements and are in this sense the most comparable to ordinary integers. In this paper, we point out the similarity of β-integers and ordinary integers in the asymptotic sense, in particular for a subclass of Parry numbers - Pisot numbers for which their Parry and minimal polynomial coincide. |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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Date de publication
ou d'écriture : |
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2008 |
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| Nom du périodique : |
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| Letters in Mathematical Physics (Lett. Math. Phys.) |
| Publisher |
Springer Verlag (Germany) |
| ISSN |
0377-9017 (eISSN : 1573-0530) |
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| Volume : |
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84 |
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| Page/Article : |
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179-198 |
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| Mot(s)-clé(s) : |
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beta-integers – beta-numeration – asymptotic behavior – quasicrystals – aperiodic structure |
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