 |
 |
 |
|
|
|
| HAL : in2p3-00326547, version 1 |
| arXiv : 0802.2992 |
| DOI : 10.1007/s11005-008-0241-z |
| Fiche détaillée |  Récupérer au format |
 |
| Letters in Mathematical Physics 84 (2008) 179-198 |
|
|
|
|
| Asymptotic Behavior of Beta-Integers |
|
|
| L. Balková1J.-P. Gazeau1E. Pelantová |
|
|
| (2008) |
|
|
|
| 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | APC - AstroParticule et Cosmologie |
|
|
|
|
|
|
|
|
|
| APC - THEORIE |
|
|
|
|
| Thème(s) | : | Mathématiques/Physique mathématique |
|
|
| beta-integers – beta-numeration – asymptotic behavior – quasicrystals – aperiodic structure |
|
|
|
| Lien vers le texte intégral : |
|
| http://fr.arXiv.org/abs/0802.2992 |
| in2p3-00326547, version 1 | |
| http://hal.in2p3.fr/in2p3-00326547 | |
| oai:hal.in2p3.fr:in2p3-00326547 | |
| Contributeur : Simone Lantz | |
| Déposé pour le compte de : | |
| Soumis le : Mercredi 29 Février 2012, 14:41:37 | |
| Dernière modification le : Vendredi 22 Juin 2012, 21:10:22 | |
