State classification for a class of interacting superprocesses with location dependent branching
type: Item
instance of: scholarly article
title: State classification for a class of interacting superprocesses with location dependent branching
zbMATH Open document ID: 1010.60078
author: Hao Wang
published in: Electronic Communications in Probability
publication date: 2003-02-25T00:00:00Z
full work available at URL: https://eudml.org/doc/122587
full work available at URL: paper16.abs.html
review text: A class of interacting superprocesses on \(\mathbb{R}\) was introduced by \textit{D. A. Dawson}, \textit{Z. Li} and the author [Electron. J. Probab. 6, Paper No. 25 (2001; Zbl 1008.60093)]. There it was shown that if the motion coefficient satisfies a uniform ellipticity condition, the process lives in the set of absolutely continuous measures. The main result of the present paper is that in the case of a vanishing motion coefficient, the states are purely atomic, and their dynamics is described.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60J35
zbMATH DE Number: 1873767
zbMATH Keywords: purely atomic states
zbMATH Keywords: uniform ellipticity condition
zbMATH Keywords: vanishing motion coefficient
MaRDI profile type: Publication
DOI: 10.1214/ECP.V7-1057
description: scientific article; zbMATH DE number 1873767