Longtime behavior of a branching process controlled by branching catalysts
type: Item
instance of: scholarly article
title: Longtime behavior of a branching process controlled by branching catalysts
zbMATH Open document ID: 0942.60073
DOI: 10.1016/S0304-4149(97)00076-8
author: Donald A. Dawson
author: Klaus Fleischmann
published in: Stochastic Processes and their Applications
publication date: 2000-03-01T00:00:00Z
review text: The authors study long-time behaviour of a catalytic branching model (a super-Brownian motion in a super-Brownian medium), which was developed in their previous paper [J. Theor. Probab. 10, No. 1, 213-276 (1997; Zbl 0877.60030)]. The main results of the paper, like, for example, persistence and the strong law of large numbers, concern the case of dimension \(d=3\); however, some interesting results are obtained also for \(d=2\).
reviewed by: Jan Seidler
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 1409144
zbMATH Keywords: superprocess
zbMATH Keywords: super-Brownian motion
zbMATH Keywords: measure-valued branching
zbMATH Keywords: persistence
zbMATH Keywords: random medium
zbMATH Keywords: catalytic medium
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1409144