Gaussian Fields and Random Packing

Yu Baryshnikov; J. E. Yukich

doi:10.1023/A:1022229713275

Gaussian Fields and Random Packing

Yu Baryshnikov, J. E. Yukich

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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 thermo-dynamic limit. The results cover related applied models, including ballistic deposition and spatial birth-growth models.

Original language	English
Pages (from-to)	443-463
Number of pages	21
Journal	Journal of Statistical Physics
Volume	111
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1022229713275
Publication status	Published - Apr 1 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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