Simple random walk on long-range percolation clusters. II: Scaling limits

DOI10.1214/12-AOP774zbMath1268.60056arXiv0911.5668MaRDI QIDQ1951680

Allan Sly, Nicholas Crawford

Publication date: 24 May 2013

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

Full work available at URL: https://arxiv.org/abs/0911.5668

zbMATH Keywords

fractalsstable processrandom walk in a random environmentlong range percolation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Stable stochastic processes (60G52)

Related Items (15)

Spectral dimension of simple random walk on a long-range percolation cluster ⋮ Simple random walk on long range percolation clusters. I: Heat kernel bounds ⋮ Recurrence and transience of symmetric random walks with long-range jumps ⋮ Transience and anchored isoperimetric dimension of supercritical percolation clusters ⋮ Discrete approximation of symmetric jump processes on metric measure spaces ⋮ Estimates on the effective resistance in anisotropic long-range percolation on \(\mathbb Z^2\) ⋮ Scaling limits for one-dimensional long-range percolation: using the corrector method ⋮ The mixing time of a random walk on a long-range percolation cluster in pre-Sierpinski gasket ⋮ Random conductance models with stable-like jumps: quenched invariance principle ⋮ Transience and recurrence of random walks on percolation clusters in an ultrametric space ⋮ Quenched invariance principle for a class of random conductance models with long-range jumps ⋮ Random systems in ultrametric spaces ⋮ Graph diameter in long-range percolation ⋮ Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities ⋮ The diameter of a long-range percolation cluster on pre-Sierpinski gasket

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