Central limit theorems for percolation models

DOI10.1007/BF01022185zbMath0512.60094MaRDI QIDQ1050028

J. Theodore Cox, Geoffrey R. Grimmett

Publication date: 1981

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalitypercolationcircuitssemi-invariants

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Weak convergence using higher-order cumulants ⋮ The Central Limit Theorem and the Law of Large Numbers for Pair-Connectivity in Bernoulli Trees ⋮ Local central limit theorem for long-range two-body potentials at sufficiently high temperatures ⋮ A general central limit theorem for FKG systems ⋮ Stochastic renormalization group in percolation. I: Fluctuations and crossover

Cites Work

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• The critical probability of bond percolation on the square lattice equals 1/2
• Correlation inequalities on some partially ordered sets
• Limit theorems for multiply indexed mixing random variables, with application to Gibbs random fields
• First-passage percolation on the square lattice
• Renormalizing the 3-dimensional voter model
• On the time constant and path length of first-passage percolation
• On the Differentiability of the Number of Clusters Per Vertex in the Percolation Model
• On the Number of Clusters in the Percolation Model
• A note on percolation
• Percolation Probabilities on the Square Lattice

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