A note on disjoint-occurrence inequalities for marked Poisson point processes

DOI10.2307/3215065zbMath0860.60013OpenAlexW2329853180MaRDI QIDQ4891673

Jacob Van Den Berg

Publication date: 13 April 1997

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

Full work available at URL: https://doi.org/10.2307/3215065

zbMATH Keywords

Poisson point processesBK inequalitycontinuum percolationdisjoint occurrence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Continuum percolation in high dimensions ⋮ The first passage sets of the 2D Gaussian free field: convergence and isomorphisms ⋮ Conformal loop ensembles: the Markovian characterization and the loop-soup construction ⋮ Thick points of the planar GFF are totally disconnected for all \(\gamma \neq 0\) ⋮ Double dimers, conformal loop ensembles and isomonodromic deformations ⋮ Dynamic Boolean models ⋮ Equivalence of some subcritical properties in continuum percolation ⋮ Continuity of the time constant in a continuous model of first passage percolation ⋮ Percolation phase transition in weight-dependent random connection models

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