Gaussian Fields and Random Packing

Yu Baryshnikov, J. E. Yukich

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)443-463
Number of pages21
JournalJournal of Statistical Physics
Volume111
Issue number1-2
DOIs
StatePublished - Apr 2003
Externally publishedYes

Keywords

  • Ballistic deposition
  • Gaussian fields
  • Random packing
  • Spatial birth-growth models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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