On densest packings of equal balls of $\rb^{n}$ and Marcinkiewicz spaces

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dc.creatorMuraz, Gilbert
dc.creatorVerger-Gaugry, Jean-Louis
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:10:51Z
dc.date.available2026-07-07T12:10:51Z
dc.descriptionWe investigate, by "a la Marcinkiewicz" techniques applied to the (asymptotic) density function, how dense systems of equal spheres of $\rb^{n}, n \geq 1,$ can be partitioned at infinity in order to allow the computation of their density as a true limit and not a limsup. The density of a packing of equal balls is the norm 1 of the characteristic function of the systems of balls in the sense of Marcinkiewicz. Existence Theorems for densest sphere packings and completely saturated sphere packings of maximal density are given new direct proofs.
dc.description20 pages. CIRM: Rencontre "Interface entre Analyse Harmonique et Théorie des Nombres", Octobre 2005, to appear
dc.identifierhttps://arxiv.org/abs/0812.1720
dc.identifierhttp://arxiv.org/abs/0812.1720
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210050
dc.subjectMetric Geometry
dc.subject52C17, 52C23
dc.titleOn densest packings of equal balls of $\rb^{n}$ and Marcinkiewicz spaces
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