Gupta, J. C.; Rao, B. V. Van den Berg-Kesten inequality for the Poisson Boolean model for continuum percolation. (English) Zbl 0977.60100 Sankhyā, Ser. A 61, No. 3, 337-346 (1999). Summary: For the Poisson Boolean model of continuum percolation we prove the Van den Berg-Kesten inequality \(P(A\square B)\leq P(A)P(B)\) for any two events \(A\) and \(B\) living on a bounded region. Cited in 1 Document MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82B43 Percolation Keywords:Poisson Boolean model; continuum percolation; Van den Berg-Kesten inequality PDF BibTeX XML Cite \textit{J. C. Gupta} and \textit{B. V. Rao}, Sankhyā, Ser. A 61, No. 3, 337--346 (1999; Zbl 0977.60100)