Renormalization of the voter model in equilibrium
type: Item
instance of: scholarly article
title: Renormalization of the voter model in equilibrium
zbMATH Open document ID: 1023.60081
author: Iljana Zähle
published in: The Annals of Probability
publication date: 2003-05-06T00:00:00Z
review text: A \(d\)-dimensional voter model, \(d\geq 3\), is considered. The large scale limit of the equilibrium state is studied with the help of the historical process. Some surprising facts about the Green function of random walks in dimension \(d\geq 4\) are established, which lead to the different features in \(d=3\) versus \(d\geq 4\). An analogous result for the voter model on the hierarchical group is proved.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1906018
zbMATH Keywords: voter model
zbMATH Keywords: large scale limit
zbMATH Keywords: equilibrium state
zbMATH Keywords: historical process
zbMATH Keywords: hierarchical group
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1015345603
OpenAlex ID: W1552307274
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DOI: 10.1214/AOP/1015345603
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reviewed by: Alexander S. Holevo
description: scientific article; zbMATH DE number 1906018