1 Citation (Scopus)


In the spherical Poisson Boolean model, one takes the union of random balls centred on the points of a Poisson process in Euclidean d-space with d >= 2. We prove that whenever the radius distribution has a finite d-th moment, there exists a strictly positive value for the intensity such that the vacant region percolates.
Original languageEnglish
Article number49
Pages (from-to)1-8
Number of pages8
JournalElectronic Communications in Probability
Issue number49
Publication statusPublished - 31 Jul 2018



  • Critical value
  • Percolation
  • Poisson process
  • Vacant region

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this