epsilon-Pisot numbers in any real algebraic number field are relatively dense
Författare
Summary, in English
An algebraic integer is called an epsilon-Pisot number (epsilon > 0) if its Galois conjugates have absolute value less then epsilon. Let K be any real algebraic number field. We prove that the subset of K consisting of epsilon-Pisot numbers which have the same degree as that of the field is relatively dense in the real line R. This has some applications to non-stationary products of random matrices involving Salem numbers. (C) 2004 Elsevier Inc. All rights reserved.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2004
Språk
Engelska
Sidor
470-475
Publikation/Tidskrift/Serie
Journal of Algebra
Volym
272
Issue
2
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- real algebraic number fields
- PV-numbers
- Salem numbers
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0021-8693