Super-tree random measures
type: Item
instance of: scholarly article
title: Super-tree random measures
zbMATH Open document ID: 0883.60080
DOI: 10.1023/A:1022666030740
author: Hassan Allouba
author: John Hawkes
author: Rick Durrett
author: Edwin Perkins
published in: Journal of Theoretical Probability
publication date: 1998-02-23T00:00:00Z
review text: A random measure \(\nu\) is constructed as limiting state of a supercritical discrete time branching random walk in which particle mass and step size are rescaled geometrically in time. At least heuristically, the law of \(\nu\) is related to the distribution of a superprocess at a certain deterministic time. In the main part of the paper, the almost sure support properties of \(\nu\) (such as compact support, carrying dimension, or existence of a smooth density) are investigated subject to varying conditions on the characteristics of the branching random walk.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 1061820
zbMATH Keywords: random measures
zbMATH Keywords: branching random walk
zbMATH Keywords: support properties
reviewed by: Alexander Schied
MaRDI profile type: Publication
full work available at URL: a:1022666030740
OpenAlex ID: W1489717392
description: scientific article; zbMATH DE number 1061820