Abstract
Consider sequential packing of unit volume balls in a large cube, 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. The results cover related applied models, including ballistic deposition and spatial birth-growth models.
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Baryshnikov, Y., Yukich, J.E. Gaussian Fields and Random Packing. Journal of Statistical Physics 111, 443–463 (2003). https://doi.org/10.1023/A:1022229713275
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DOI: https://doi.org/10.1023/A:1022229713275