Local extinction of super-Brownian motion on Sierpiński gasket
type: Item
instance of: scholarly article
title: Local extinction of super-Brownian motion on Sierpiński gasket
zbMATH Open document ID: 0917.60087
DOI: 10.1007/BF02879044
published in: Science in China. Series A
publication date: 1999-07-19T00:00:00Z
review text: Brownian motion on a Sierpiński gasket (a typical example of a self-similar fractal set of Lebesgue measure zero in two dimensions) was originally studied in detail by \textit{M. T. Barlow} and \textit{E. A. Perkins} [Probab. Theory Relat. Fields 79, No. 4, 543-623 (1988; Zbl 0635.60090)]. A superprocess is a measure-valued stochastic process where the random measure at any time represents the spatial distribution of a population which is both migrating and reproducing. This is called super-Brownian motion on a Sierpiński gasket if the migration component is governed by the process studied by Barlow and Perkins. The present paper addresses two questions: local extinction of the superprocess, and density of the paths of the Brownian motion.
Mathematics Subject Classification ID: 60J85
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 1187426
zbMATH Keywords: fractal
zbMATH Keywords: diffusion
zbMATH Keywords: superprocess
zbMATH Keywords: Brownian motion
zbMATH Keywords: extinction
author: Junyi Guo
reviewed by: D. R. Grey
MaRDI profile type: Publication
cites work: Transition densities for Brownian motion on the Sierpinski carpet
cites work: Brownian motion on a homogeneous fractal
cites work: Hitting Time Bounds for Brownian Motion on a Fractal
cites work: Estimates of transition densities for Brownian motion of nested fractals
cites work: Brownian motion on the Sierpinski gasket
cites work: Brownian motion on nested fractals
cites work: The critical measure diffusion process
cites work: A super-Brownian motion with a single point catalyst
cites work: Critical branching in a highly fluctuating random medium
full work available at URL: https://doi.org/10.1007/bf02879044
OpenAlex ID: W1987943865
description: scientific article; zbMATH DE number 1187426