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Entiers al\'eatoires, ensembles de Sidon, densit\'e dans le groupe de Bohr et ensembles d'analyticit\'e
- Publication Year :
- 2007
-
Abstract
- We study properties of a sequence $\Lambda$ obtained by a randomselection of integers $n$, where $n\in\Lambda$ with probability $\varpi_{n}$, independently of the other choices. We distinguish two cases : if $\limsup_{n\to\infty}n\varpi_{n}<\infty$, $\Lambda$ is a.s. a Sidon set, non-dense in the Bohr group ; if $\lim_{n\to\infty}n\varpi_{n}=\infty$, then $\Lambda$ is a.s. a set of analyticity and is dense in the Bohr group.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0705.4261
- Document Type :
- Working Paper