Random Lattices and Random Sphere Packings: Typical Properties

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dc.creatorShlosman, Senya
dc.creatorTsfasman, Michael A.
dc.date2000-11-23
dc.date.accessioned2026-07-07T04:28:09Z
dc.date.available2026-07-07T04:28:09Z
dc.descriptionWe review results about the density of typical lattices in $R^n.$ They state that such density is of the order of $2^{-n}.$ We then obtain similar results for random packings in $R^n$: after taking suitably a fraction $ν$ of a typical random packing $σ$, the resulting packing $τ$ has density $C(ν) 2^{-n},$ with a reasonable $C(ν).$ We obtain estimates on $C(ν).$
dc.identifierhttps://arxiv.org/abs/math-ph/0011040
dc.identifierhttp://arxiv.org/abs/math-ph/0011040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56675
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subject82B05
dc.titleRandom Lattices and Random Sphere Packings: Typical Properties
dc.typetext

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