A voter model in random environment
type: Item
instance of: scholarly article
title: A voter model in random environment
zbMATH Open document ID: 0824.60101
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1995-04-04T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77505
review text: The process \(\eta_ t\) representing the voters opinion has the state space \(\{-1, + 1\}^{Z^ d}\). A random configuration of the links between voters is given by the family \((w(x, y))\) for every two voters \(x,y\), where \(w(x,y)\) is allowed to get the values \(+1\) or \(- 1\) with probability \(p\), respectively \(1-p\). The transition is determined by the links configuration as follows: if the present state at \(x\) is \(\eta_ t(x)\), then the next value should be \(+ 1\) or \(- 1\) according to the values \(w(x,y)\) where \(y\) is one of the nearest neighbors of \(x\) randomly chosen. The study concerns with the ergodicity of the process \(\eta_ t\).
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 740327
zbMATH Keywords: voter model
zbMATH Keywords: duality
zbMATH Keywords: random configuration
zbMATH Keywords: ergodicity
author: Ellen Saada
reviewed by: Anton Ştefănescu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 740327