饱和时多维随机序列包装的高斯极限（扩展版）
Gaussian limits for multidimensional random sequential packing at saturation (extended version)
摘要：
考虑任意维数的无限输入随机序贯堆积模型。当输入由非零体积凸固体，我们表明，接受体积$λ$立方体的固体总数是渐近正常的$λ\to \infty$。我们提供了一个率的逼近正常和包装措施的有限维分布收敛到那些平均为零的广义高斯场。证明的方法包括证明可接受的实体的集合满足称为稳定性的弱空间依赖条件。
英文摘要：
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 $λ\to \infty$. 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.
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