Random Lattices and Random Sphere Packings: Typical Properties
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چکیده
We review results about the density of typical lattices in R. This density is of the order of 2−n. We then obtain similar results for random (non-lattice) sphere packings in R: after suitably taking a fraction ν of centers of spheres in a typical random packing σ, the resulting packing τ has density C(ν)2−n with a reasonable C(ν). We obtain estimates of C(ν). 2000 Math. Subj. Class. 82B05.
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تاریخ انتشار 2001