Some conditional correlation inequalities for percolation and related processes

DOI10.1002/rsa.20102zbMath1112.60087arXivmath/0408176OpenAlexW2514877643MaRDI QIDQ3419601

Olle Häggström, Jeffry Kahn, Jacob Van Den Berg

Publication date: 7 February 2007

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408176

zbMATH Keywords

percolationcorrelation inequalitiesrandom-cluster modelcontact processAhlswede-Daykin Theorem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (13)

On the threshold of spread-out contact process percolation ⋮ The bunkbed conjecture holds in the limit ⋮ Phase separation in random cluster models. II: The droplet at equilibrium, and local deviation lower bounds ⋮ T. E. Harris' contributions to interacting particle systems and percolation ⋮ Refinements of stochastic domination ⋮ The FKG inequality for partially ordered algebras ⋮ Correlations for paths in random orientations of G(n,p) and G(n,m) ⋮ Scaling of a random walk on a supercritical contact process ⋮ Stochastic models for large interacting systems and related correlation inequalities ⋮ A Counter-Intuitive Correlation in a Random Tournament ⋮ On Percolation and the Bunkbed Conjecture ⋮ On the Ornstein-Zernike behaviour for the supercritical random-cluster model on \(\mathbb {Z}^{d}\), \(d\geq 3\) ⋮ Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

Cites Work

• Percolation
• Finite Markov Chains and Algorithmic Applications
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