Gaussian Fields and Random Packing |
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| Authors: | Yu. Baryshnikov J. E. Yukich |
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| Affiliation: | (1) Rm 2C-261, Bell Laboratories, Lucent Technologies, 600-700 Mountain Ave, Murray Hill, New Jersey, 079074;(2) Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania, 18015 |
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| 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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| Keywords: | Gaussian fields random packing ballistic deposition spatial birth-growth models |
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