Random Lattices and Random Sphere Packings: Typical Properties
Year: 2000
Type: preprint
Abstract: We 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 $C(ν).$
Source: arXiv (Cornell University)
Authors: Shlosman, Senya, Tsfasman, Michael A.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6948686238
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