On the capacity functional of the infinite cluster of a Boolean model

DOI10.1214/16-AAP1241zbMath1373.60160arXiv1601.04945OpenAlexW2293998714MaRDI QIDQ2403139

Mathew D. Penrose, Günter Last, Sergei Zuyev

Publication date: 15 September 2017

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04945

zbMATH Keywords

Boolean modelinfinite clustercontinuum percolationcapacity functionalpercolation functionMargulis-Russo-type formulaReimer inequality

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (4)

A BKR operation for events occurring for disjoint reasons with high probability ⋮ Mean-field bounds for Poisson-Boolean percolation ⋮ Analyticity Results in Bernoulli Percolation ⋮ Non-triviality in a totally asymmetric one-dimensional Boolean percolation model on a half-line

This page was built for publication: On the capacity functional of the infinite cluster of a Boolean model