Entiers aléatoires, ensembles de Sidon, densité dans le groupe de Bohr et ensembles d'analyticité

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dc.creatorKahane, Jean-Pierre
dc.creatorKatznelson, Yitzhak
dc.date2007-05-29
dc.date.accessioned2026-07-07T08:03:32Z
dc.date.available2026-07-07T08:03:32Z
dc.descriptionWe study properties of a sequence $Λ$ obtained by a randomselection of integers $n$, where $n\inΛ$ with probability $\varpi_{n}$, independently of the other choices. We distinguish two cases : if $\limsup_{n\to\infty}n\varpi_{n}<\infty$, $Λ$ is a.s. a Sidon set, non-dense in the Bohr group ; if $\lim_{n\to\infty}n\varpi_{n}=\infty$, then $Λ$ is a.s. a set of analyticity and is dense in the Bohr group.
dc.identifierhttps://arxiv.org/abs/0705.4261
dc.identifierhttp://arxiv.org/abs/0705.4261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129610
dc.subjectClassical Analysis and ODEs
dc.subjectProbability
dc.subject11K31; 11K70; 60G55
dc.titleEntiers aléatoires, ensembles de Sidon, densité dans le groupe de Bohr et ensembles d'analyticité
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