Clustering and percolation of point processes

DOI10.1214/EJP.v18-2468zbMath1291.60099arXiv1112.2227MaRDI QIDQ388958

Dhandapani Yogeshwaran, Bartlomiej Blaszczyszyn

Publication date: 17 January 2014

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

Full work available at URL: https://arxiv.org/abs/1112.2227

zbMATH Keywords

percolationphase transitionpoint processBoolean modelperturbed latticesshot-noise field

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

SINR percolation for Cox point processes with random powers, Testing goodness of fit for point processes via topological data analysis, Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees, Absence of percolation in graphs based on stationary point processes with degrees bounded by two, On the topology of random complexes built over stationary point processes, Continuum percolation in a nonstabilizing environment, Probabilistic Methods for Spatial Multihop Communication Systems, Thresholds for vanishing of `isolated' faces in random Čech and Vietoris-Rips complexes, Signal to interference ratio percolation for Cox point processes, Continuum percolation for Cox point processes, Gilbert's disc model with geostatistical marking, Phase transitions for the Boolean model of continuum percolation for Cox point processes, Continuum line-of-sight percolation on Poisson–Voronoi tessellations