The consensus times of the majority vote process on a torus
type: Item
instance of: scholarly article
title: The consensus times of the majority vote process on a torus
zbMATH Open document ID: 0935.60091
DOI: 10.1007/BF02199120
author: Dayue Chen
published in: Journal of Statistical Physics
publication date: 2000-05-04T00:00:00Z
review text: One considers the majority vote process on a two-dimensional torus. Let \(T_1\) and \(T_2\) be the consensus time and the time of the first change of the consensus, respectively. The main results concern the asymptotic behavior of \(T_1\) and \(T_2\) when the probability that the voter adopts the opinion of the minority tends to zero.
reviewed by: Anton Ştefănescu
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 1279734
zbMATH Keywords: majority
zbMATH Keywords: consensus time
MaRDI profile type: Publication
cites work: Q5830122
cites work: Metastable behavior of stochastic dynamics: A pathwise approach
cites work: Metastability of exponentially perturbed Markov chains
cites work: Q4861749
cites work: Q4203058
cites work: Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\)
cites work: \(L^ 2\) convergence of time nonhomogeneous Markov processes. I: Spectral estimates
cites work: Q3672830
cites work: Metastability for a class of dynamical systems subject to small random perturbations
cites work: Q5185817
cites work: Critical droplets and metastability for a Glauber dynamics at very low temperatures
cites work: Behavior of droplets for a class of Glauber dynamics at very low temperature
cites work: Renormalization group for Markov chains and application to metastability
cites work: The pattern of escape from metastability of a stochastic Ising model
cites work: Q3988633
description: scientific article; zbMATH DE number 1279734