Subcritical regimes in the Poisson Boolean model of continuum percolation
Abstract
We consider the Poisson Boolean model of continuum percolation. We show that there is a subcritical phase if and only if E(Rd) is finite, where R denotes the radius of the balls around Poisson points and d denotes the dimension. We also give related results concerning the integrability of the diameter of subcritical clusters.
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