Random Lattices and Random Sphere Packings: Typical Properties
Shlosman, Senya ; Tsfasman, Michael A.
HAL, hal-00117569 / Harvested from HAL
Text on HAL
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 $\nu$ of a typical random packing $\sigma$, the resulting packing $\tau$ has density $C(\nu) 2^{-n},$ with a reasonable $C(\nu).$ We obtain estimates on $C(\nu).$
Publié le : 2001-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00117569,
     author = {Shlosman, Senya and Tsfasman, Michael A.},
     title = {Random Lattices and Random Sphere Packings: Typical Properties},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00117569}
}

Shlosman, Senya; Tsfasman, Michael A. Random Lattices and Random Sphere Packings: Typical Properties. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00117569/