The critical contact process seen from the right edge
type: Item
instance of: scholarly article
title: The critical contact process seen from the right edge
zbMATH Open document ID: 0694.60098
DOI: 10.1007/BF01312213
author: J. Theodore Cox
author: Rick Durrett
author: Rinaldo Schinazi
publication date: 1991-01-01T00:00:00Z
review text: \textit{R. Durrett} [Ann. Probab. 12, 999-1040 (1984; Zbl 0567.60095)] proved the existence of an invariant measure for the critical and supercritical contact process seen from the right edge. \textit{A. Galves} and \textit{E. Presutti} [ibid. 15, 1131-1145 (1987; Zbl 0645.60103)] proved, in the supercritical case, that the invariant measure was unique, and convergence to it held starting in any semi-infinite initial state. We prove the same for the critical contact process. We also prove that the process starting with one particle, conditioned to survive until time t, converges to the unique invariant measure as \(t\to \infty\).
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4137168
zbMATH Keywords: invariant measure
zbMATH Keywords: supercritical contact process
zbMATH Keywords: critical contact process
zbMATH Keywords: unique invariant measure
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4137168