Random Lattices and Random Sphere Packings: Typical Properties
Abstract
We review results about the density of typical lattices in Rn. They state that such density is of the order of 2-n. We then obtain similar results for random packings in Rn: after taking suitably a fraction of a typical random packing σ, the resulting packing τ has density C() 2-n, with a reasonable C(). We obtain estimates on C().
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