The one-arm exponent for mean-field long-range percolation

DOI10.1214/EJP.V20-3935zbMath1328.60214arXiv1411.3020OpenAlexW2963053604MaRDI QIDQ894176

Tim Hulshof

Publication date: 27 November 2015

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

Full work available at URL: https://arxiv.org/abs/1411.3020

zbMATH Keywords

critical exponentbranching random walklong-range percolationmean-field behavior

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

On the range of lattice models in high dimensions ⋮ Random walk on barely supercritical branching random walk ⋮ Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions ⋮ Universality of high-dimensional spanning forests and sandpiles

This page was built for publication: The one-arm exponent for mean-field long-range percolation