Uniqueness of diffusion generators for two types of particle systems with singular interactions
type: Item
instance of: scholarly article
title: Uniqueness of diffusion generators for two types of particle systems with singular interactions
zbMATH Open document ID: 1055.60074
author: A. Yu. Konstantinov
author: Yuri Kondratiev
author: Michael Röckner
published in: Journal of Functional Analysis
publication date: 2004-10-01T00:00:00Z
review text: Two specific models of stochastic particle systems in \(\mathbb R^d\) are studied. The first model is connected with a particle performing in a random motion and interacting with randomly distributed impurities, and the second describes a system with \(N\) particles, interacting via a singular pair potential. The \(L^1\)- and \(L^2\)-uniqueness w.r.t. the underlying symmetrizing measures of these two models are proved, which, in particular, implies the non-explosion of these particle systems.
reviewed by: Feng-Yu Wang
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 2105597
zbMATH Keywords: distorted Brownian motion
zbMATH Keywords: diffusion in random media
zbMATH Keywords: singular interaction
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.03.012
OpenAlex ID: W2035673750
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DOI: 10.1016/J.JFA.2004.03.012
description: scientific article; zbMATH DE number 2105597