The complete convergence theorem for coexistent threshold voter models
type: Item
instance of: scholarly article
title: The complete convergence theorem for coexistent threshold voter models
zbMATH Open document ID: 0974.60093
author: Shirin J. Handjani
published in: The Annals of Probability
publication date: 1999-11-09T00:00:00Z
review text: The threshold voter model was introduced by \textit{J. T. Cox} and \textit{R. Durrett} [in: Random walks, Brownian motion, and interacting particle systems. Prog. Probab. 28, 189-201 (1991)] which conjectured that it converges to a stationary distribution. In the present paper one proves a generalization of this conjecture.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 1359645
zbMATH Keywords: Markov process
zbMATH Keywords: invariant measure
zbMATH Keywords: limiting distribution
reviewed by: Anton Ştefănescu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1022677260
OpenAlex ID: W2108598924
cites work: Clustering in one-dimensional threshold voter models
cites work: Critical attractive spin systems
cites work: Annihilating branching processes
cites work: Q3976801
cites work: Q4844601
cites work: Q5185817
cites work: Coexistence in threshold voter models
DOI: 10.1214/AOP/1022677260
description: scientific article; zbMATH DE number 1359645