Random creation and dispersion of mass
type: Item
instance of: scholarly article
title: Random creation and dispersion of mass
zbMATH Open document ID: 0602.60046
DOI: 10.1016/0047-259X(86)90073-4
author: Aubrey Wulfsohn
published in: Journal of Multivariate Analysis
publication date: 1986-01-01T00:00:00Z
review text: Evolution of mass, situated in a compact region of Euclidean space, with random creation-annihilation and dispersion is studied. It is represented by a measure-valued stochastic process, evolving according to a stochastic partial differential equation. These equations were studied by \textit{D. A. Dawson} [ibid. 5, 1-52 (1975; Zbl 0299.60050)]. The main object of the present paper is the existence of solutions. It is derived by treating first the dispersion free case and then including dispersion by using Trotter's product formula. It is also shown that non- deterministic solutions are ''smeared'' continuous-state branching diffusions.
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60E10
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 3971897
zbMATH Keywords: measure-valued stochastic process
zbMATH Keywords: Trotter's product formula
zbMATH Keywords: branching diffusions
MaRDI profile type: Publication
cites work: Q3256687
cites work: Stochastic evolution equations and related measure processes
cites work: Q5342182
cites work: Q5727090
cites work: Q5653395
cites work: Q5653423
cites work: Q3917278
cites work: On product formulas for nonlinear semigroups
cites work: Q3287625
cites work: Q3847273
cites work: Q4052400
cites work: Bessel diffusions as a one-parameter family of diffusion processes
cites work: Q5576583
cites work: Markov processes with creation of particles
cites work: On the infinite divisibility of the lognormal distribution
cites work: Q4150972
description: scientific article; zbMATH DE number 3971897