Thick points of super-Brownian motion
type: Item
instance of: scholarly article
title: Thick points of super-Brownian motion
zbMATH Open document ID: 1075.60104
author: Jochen Blath
author: Peter Mörters
publication date: 2005-04-28T00:00:00Z
review text: For super-Brownian motion in dimension \(d\geq 3\) started from an arbitrary finite measure, the authors obtain results on the spectrum of thick points and on most visited sites (conditionally on survival), improving previous results by \textit{M. T. Barlow}, \textit{S. N. Evans} and \textit{E. A. Perkins} [Can. J. Math. 43, No. 5, 897--938 (1991; Zbl 0765.60044)] and \textit{E. A. Perkins} and \textit{S. J. Taylor} [Ann. Inst. Henri Poincaré, Probab. Stat. 34, No. 1, 97--138 (1998; Zbl 0905.60031)]. The analysis provides insight into how exceptionally large mass is created in a small ball. Le Gall's Brownian snake is used for studying the genealogy of the underlying branching process.
reviewed by: Luis G. Gorostiza
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 2162371
zbMATH Keywords: most visited sited
zbMATH Keywords: multifractal spectrum
MaRDI profile type: Publication
full work available at URL: s00440-004-0387-2
OpenAlex ID: W2024397392
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DOI: 10.1007/S00440-004-0387-2
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 2162371