Gaussian fields and random packing
概率论
2007-05-23 v1 数学物理
math.MP
摘要
Consider sequential packing of unit balls in a large cube, as in the Renyi car-parking model, but in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermodynamic limit. We prove analogous results for related applied models, including ballistic deposition and spatial birth-growth models.
引用
@article{arxiv.math/0202063,
title = {Gaussian fields and random packing},
author = {Yu. Baryshnikov and J. E. Yukich},
journal= {arXiv preprint arXiv:math/0202063},
year = {2007}
}
备注
22 pages