A sufficient condition for non-coexistence of one dimensional multicolor contact processes
type: Item
instance of: scholarly article
title: A sufficient condition for non-coexistence of one dimensional multicolor contact processes
zbMATH Open document ID: 0811.60096
DOI: 10.1007/BF02006116
author: Jun Wang
author: Xiu-Fang Liu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1995-04-25T00:00:00Z
review text: The authors study a Markov process, whose state space consists of the configurations on \(\mathbb{Z}\), where each site is occupied by grass, bushes or trees with corresponding transition rates. They prove non-existence of bushes and trees as time \(t \to \infty\) for large birth rates of trees using oriented percolation. The stronger result, that in this case bushes die out, was already obtained by \textit{R. Durrett} and \textit{G. Swindle} [Stochastic Processes Appl. 37, No. 1, 19-31 (1991; Zbl 0722.60106)].
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B43
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 646740
zbMATH Keywords: multicolor contact process
zbMATH Keywords: oriented percolation
MaRDI profile type: Publication
cites work: Oriented percolation in two dimensions
cites work: Q5185817
cites work: Additive and cancellative interacting particle systems
full work available at URL: https://doi.org/10.1007/bf02006116
OpenAlex ID: W2063941927
description: scientific article; zbMATH DE number 646740