Random Lattices and Random Sphere Packings: Typical Properties

Senya Shlosman; Michael A. Tsfasman

Random Lattices and Random Sphere Packings: Typical Properties

数学物理 2007-05-23 v1 组合数学 math.MP

作者: Senya Shlosman , Michael A. Tsfasman

摘要

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 $C(\nu).$

引用

@article{arxiv.math-ph/0011040,
  title  = {Random Lattices and Random Sphere Packings: Typical Properties},
  author = {Senya Shlosman and Michael A. Tsfasman},
  journal= {arXiv preprint arXiv:math-ph/0011040},
  year   = {2007}
}

Random Lattices and Random Sphere Packings: Typical Properties

摘要

引用

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