Voronoi and void statistics for superhomogeneous point processes

Andrea Gabrielli, Salvatore Torquato

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


The Voroni and void statistics of superhomogeneous point patterns in which the infinite-wavelength density fluctuations vanish were studied. A certain one-dimensional model was analyzed by studying size fluctuations and correlations of the associated Voronoi cells. The exact results were derived for the complete joint statistics of the size of two Voronoi cells. It was found that the infinitely large Voronoi cells or voids can exist in superhomogeneous point processes in any dimension.

Original languageEnglish (US)
Article number041105
Pages (from-to)041105-1-041105-12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4 1
StatePublished - Oct 2004

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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