Complete convergence theory of the contact process on \(T_d \times Z\)
type: Item
instance of: scholarly article
title: Complete convergence theory of the contact process on \(T_d \times Z\)
zbMATH Open document ID: 1129.60094
DOI: 10.1016/S0252-9602(17)30232-1
author: Shumei Jia
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2006-01-24T00:00:00Z
review text: The author consider the contact process on a branching plane \(T_d \times Z\) (\(T_d\) is a regular tree where every vertex has exactly \(d+1\) neighbors). It was shown by Pemantle in 1992 that the contact process on \(T_d\) has at least two different critical points. The author shows that the same is true for the contact process on \(T_d \times Z\) and proves complete convergence theorem above the second critical point.
reviewed by: Artem Zvavitch
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 5000913
zbMATH Keywords: contact process
zbMATH Keywords: branching plane
zbMATH Keywords: complete convergence theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5000913