Supercritical loop percolation on \(\mathbb{Z}^d\) for \(d \geq 3\)

DOI10.1016/j.spa.2017.02.003zbMath1372.60132arXiv1504.07906OpenAlexW2745981593MaRDI QIDQ2403702

Yinshan Chang

Publication date: 11 September 2017

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07906

zbMATH Keywords

isoperimetric inequalitiesinvariance principlelocal central limit theoremsupercritical percolationrandom walk loop soup

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Percolation (82B43) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups ⋮ Percolation of worms ⋮ Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup ⋮ Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters

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