Uniqueness of unbounded occupied and vacant components in Boolean models

DOI10.1214/aoap/1177004978zbMath0812.60093OpenAlexW2008387008MaRDI QIDQ1336597

Rahul K. Roy, Ronald W. J. Meester

Publication date: 14 May 1995

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

Full work available at URL: https://doi.org/10.1214/aoap/1177004978

zbMATH Keywords

point processBoolean modelscontinuum percolation modelsrandom radius for uniqueness of the occupied and vacant components

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Transience Versus Recurrence for Scale-Free Spatial Networks ⋮ Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\) ⋮ Recurrence versus transience for weight-dependent random connection models ⋮ Brownian paths homogeneously distributed in space: percolation phase transition and uniqueness of the unbounded cluster ⋮ Uniqueness in percolation theory ⋮ Inequalities in Statistics and Information Measures ⋮ Covering algorithms, continuum percolation and the geometry of wireless networks ⋮ Percolation in the secrecy graph ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ Russo's Formula, Uniqueness of the Infinite Cluster, and Continuous Differentiability of Free Energy for Continuum Percolation ⋮ Simultaneous uniqueness of infinite clusters in stationary random labeled graphs

This page was built for publication: Uniqueness of unbounded occupied and vacant components in Boolean models