Gaussian limits for multidimensional random sequential packing at saturation (extended version)
<|reference_start|>Gaussian limits for multidimensional random sequential packing at saturation (extended version): 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 $\lambda$ is asymptotically normal as $\lambda \to \infty$. 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.<|reference_end|>
@article{schreiber2006gaussian,
    title={Gaussian limits for multidimensional random sequential packing at
  saturation (extended version)},
    author={T. Schreiber, Mathew D. Penrose and J. E. Yukich},
    journal={arXiv preprint arXiv:math/0610680},
    year={2006},
    doi={10.1007/s00220-007-0218-2},
    archivePrefix={arXiv},
    eprint={math/0610680},
    primaryClass={math.PR cs.OH}
}