Gaussian Limits for Multidimensional Random Sequential Packing at Saturation
Gaussian Limits for Multidimensional Random Sequential Packing at Saturation
复制标题
饱和时多维随机顺序堆积的高斯极限
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
J. Yukich
中科院分区：
文献类型：
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作者：
T. Schreiber;M. Penrose;J. Yukich
考虑到无限输入的随机顺序填充模型，当输入由非零体积凸固体组成时，我们表明，在体积λ的立方体上接受的固体数量是λ→∞对正常的近似速率，表明填料的有限尺寸分布会收敛到平均零广义高斯磁场的尺寸。
Consider the random sequential packing model with infinite input and in any dimension. When the input consists of non-zero volume convex solids we show that the total number of solids accepted over cubes of volume λ is asymptotically normal as λ → ∞. We provide a rate of approximation to the normal and show that the finite dimensional distributions of the packing measures converge to those of a mean zero generalized Gaussian field. The method of proof involves showing that the collection of accepted solids satisfies the weak spatial dependence condition known as stabilization.