Dynamical stability of percolation for some interacting particle systems and \(\varepsilon\)-movability

DOI10.1214/009117905000000602zbMath1107.82058arXivmath/0605641OpenAlexW3103679427MaRDI QIDQ2496958

Jeffrey E. Steif, Erik I. Broman

Publication date: 26 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0605641

zbMATH Keywords

percolationstochastic Ising modelscontact process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Time-dependent percolation in statistical mechanics (82C43)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative noise sensitivity and exceptional times for percolation
• Gibbs measures and phase transitions
• Correlation inequalities on some partially ordered sets
• Dynamic Boolean models
• Coexistence of infinite \((*)\)-clusters. II: Ising percolation in two dimensions
• A sharp transition for the two-dimensional Ising percolation
• Domination by product measures
• Dynamical percolation
• Infinite clusters in dependent automorphism invariant percolation on trees
• Percolation in strongly correlated systems: The massless Gaussian field
• Precolation of the minority spins in high-dimensional Ising models
• The random-cluster model on a homogeneous tree
• Refinements of stochastic domination
• Stochastic domination: the contact process, Ising models and FKG measures
• Percolation
• Markov random fields and percolation on general graphs

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