Stochastic partial differential equations for some measure-valued diffusions
type: Item
instance of: scholarly article
title: Stochastic partial differential equations for some measure-valued diffusions
zbMATH Open document ID: 0631.60058
DOI: 10.1007/BF00320919
author: B. George
publication date: 1988-01-01T00:00:00Z
review text: We consider two classes of measure-valued diffusion processes, measure- valued branching diffusions and Fleming-Viot diffusion models. When the basic space is \(\mathbb R^ 1\), and the drift operator is a fractional Laplacian of order \(1<\alpha \leq 2\), we derive stochastic partial differential equations based on a space-time white noise for these two processes. The former is the expected one by Dawson, but the latter is a new type of stochastic partial differential equations.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 4026474
zbMATH Keywords: measure-valued diffusion processes
zbMATH Keywords: measure-valued branching diffusions
Wikidata QID: Q62039474
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4026474