Phase transitions for the Boolean model of continuum percolation for Cox point processes

DOI10.1214/21-BJPS514MaRDI QIDQ2077447

András Tóbiás, Benedikt Jahnel, Elie Cali

Publication date: 21 February 2022

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06206

zbMATH Keywords

momentsstabilizationexponential stabilizationergodicityrandom environmentBoolean modelcontinuum percolationpolynomial stabilizationcomplete coverageshot-noise fields\(b\)-dependenceBoolean models on Boolean modelsCox point processesdiameter of clusteressential connectednessGilbert disk modelnumber of points in clusterrandom radiiuniqueness of infinite clustervolume of cluster

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (4)

SINR percolation for Cox point processes with random powers ⋮ Absence of percolation in graphs based on stationary point processes with degrees bounded by two ⋮ Continuum percolation in a nonstabilizing environment ⋮ Chase–escape in dynamic device-to-device networks

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