The growth of the infinite long-range percolation cluster

DOI10.1214/09-AOP517zbMath1196.60171arXiv0901.0661OpenAlexW2158523970MaRDI QIDQ989189

Pieter Trapman

Publication date: 30 August 2010

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

Full work available at URL: https://arxiv.org/abs/0901.0661

zbMATH Keywords

epidemicslong-range percolationchemical distance

Mathematics Subject Classification ID

Epidemiology (92D30) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Renormalization group methods in equilibrium statistical mechanics (82B28)

Related Items

Graph distances in scale-free percolation: the logarithmic case, Multiple Phase Transitions in Long-Range First-Passage Percolation on Square Lattices, Simple random walk on long range percolation clusters. I: Heat kernel bounds, Inhomogeneous long-range percolation on the hierarchical lattice, Reproduction numbers for epidemic models with households and other social structures. I: Definition and calculation of \(R_{0}\), Uniqueness of the infinite component for percolation on a hierarchical lattice, Power-law bounds for critical long-range percolation below the upper-critical dimension, Graph diameter in long-range percolation, Penalising transmission to hubs in scale-free spatial random graphs

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