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Gaussian fields and random packing

Yu. Baryshnikov·J. E. Yukich
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Abstract

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.

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Yu. Baryshnikov, J. E. Yukich. 2002-02-07. Gaussian fields and random packing. https://arxiv.org/abs/math/0202063

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