The central limit theorem for the right edge of supercritical oriented percolation
type: Item
instance of: scholarly article
title: The central limit theorem for the right edge of supercritical oriented percolation
zbMATH Open document ID: 0694.60092
author: Thomas Kuczek
published in: The Annals of Probability
publication date: 1989-01-01T00:00:00Z
review text: In studying the oriented percolation process in two dimensions (or the one-dimensional contact process), much information is contained in observations of the rightmost and leftmost particles. A central limit theorem for the rightmost particle in a supercritical contact process was proved by \textit{A. Galves} and \textit{E. Presutti} [ibid. 15, 1131-1145 (1987; Zbl 0645.60103)], and the present paper gives a simple proof of such a theorem in the case of oriented percolation. The idea is to find a sequence of points with regeneration-type properties, and hence to determine the growth law by the application of standard results.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4137162
zbMATH Keywords: oriented percolation process
zbMATH Keywords: central limit theorem
zbMATH Keywords: supercritical contact process
zbMATH Keywords: regeneration-type properties
reviewed by: G. R. Grimmett
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176991157
OpenAlex ID: W2020380316
Wikidata QID: Q105584331
DOI: 10.1214/AOP/1176991157
description: scientific article; zbMATH DE number 4137162