On the connected components of the support of super Brownian motion and of its exit measure
type: Item
instance of: scholarly article
title: On the connected components of the support of super Brownian motion and of its exit measure
zbMATH Open document ID: 0851.60079
DOI: 10.1016/0304-4149(95)00060-7
author: Romain Abraham
published in: Stochastic Processes and their Applications
publication date: 1996-11-17T00:00:00Z
review text: The main purpose of the paper is to study the support of super Brownian motion and of its exit measure. A new proof of \textit{R. Tribe}'s result [Probab. Theory Relat. Fields 89, No. 1, 75-87 (1991; Zbl 0722.60084)] that every point of support of super Brownian motion considered at a fixed time is a.s. disconnected from others when the space dimension is greater than or equal to 3 is given. The basic tool for this goal is the Brownian snake. As an application of this approach an analogous result for the support of the exit measure of the super Brownian motion from a smooth bounded domain of \(R^d\) when \(d \geq 4\) is obtained.
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 859315
zbMATH Keywords: super Brownian motion
zbMATH Keywords: exit measure
zbMATH Keywords: Brownian snake
MaRDI profile type: Publication
full work available at URL: 0304-4149(95)00060-7
OpenAlex ID: W2040729120
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description: scientific article; zbMATH DE number 859315