Renormalization of the voter model in equilibrium

DOI10.1214/aop/1015345603zbMath1023.60081OpenAlexW1552307274MaRDI QIDQ1872224

Iljana Zähle

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1015345603

zbMATH Keywords

voter modelhistorical processequilibrium statehierarchical grouplarge scale limit

Mathematics Subject Classification ID

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

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Cites Work

• Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
• Results for the stepping stone model, for migration in population genetics
• Ergodic theorems for weakly interacting infinite systems and the voter model
• Renormalizing the 3-dimensional voter model
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
• Diffusive clustering in an infinite system of hierarchically interacting diffusions
• Occupation time fluctuations in branching systems
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