Nearest-neighbor walks with low predictability profile and percolation in \(2+\varepsilon\) dimensions

DOI10.1214/aop/1022855750zbMath0937.60071OpenAlexW2047917675MaRDI QIDQ1307483

Olle Häggström, Elchanan Mossel

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1214/aop/1022855750

zbMATH Keywords

percolationIsing modeltransiencerandom walkpredictability profile

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45)

Related Items (11)

Continuous symmetry breaking along the Nishimori line ⋮ Broadcasting on trees and the Ising model. ⋮ Quenched invariance principle for simple random walk on percolation clusters ⋮ Energy of flows onZ2 percolation clusters ⋮ Searching for a trail of evidence in a maze ⋮ Reconstruction and estimation in the planted partition model ⋮ Effective resistances for supercritical percolation clusters in boxes ⋮ Enlargement of subgraphs of infinite graphs by Bernoulli percolation ⋮ Biased random walk in a one-dimensional percolation model ⋮ Unpredictable nearest neighbor processes ⋮ Unpredictable paths and percolation

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• The supercritical phase of percolation is well behaved
• Critical points and intermediate phases on wedges of Z^d
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