Clustering in a continuum percolation model

J. Quintanilla, S. Torquato

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We study properties of the clusters of a system of fully penetrable balls, a model formed by centering equal-sized balls on the points of a Poisson process. We develop a formal expression for the density of connected clusters of k balls (called k-mers) in the system, first rigorously derived by Penrose [15]. Our integral expressions are free of inherent redundancies, making them more tractable for numerical evaluation. We also derive and evaluate an integral expression for the average volume of k-mers.

Original languageEnglish (US)
Pages (from-to)327-336
Number of pages10
JournalAdvances in Applied Probability
Issue number2
StatePublished - Jun 1997

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Applied Mathematics


  • Boolean model
  • Cluster properties


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