@article{EJP98,
author = {Donald Dawson and Zenghu Li and Hao Wang},
title = {Superprocesses with Dependent Spatial Motion and General Branching Densities},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {6},
year = {2001},
keywords = {superprocess, interacting-branching particle system, diffusion process, martingale problem, dual process, rescaled limit, measure-valued catalyst.},
abstract = {We construct a class of superprocesses by taking the high density limit of a sequence of interacting-branching particle systems. The spatial motion of the superprocess is determined by a system of interacting diffusions, the branching density is given by an arbitrary bounded non-negative Borel function, and the superprocess is characterized by a martingale problem as a diffusion process with state space $M({\bf R})$, improving and extending considerably the construction of Wang (1997, 1998). It is then proved in a special case that a suitable rescaled process of the superprocess converges to the usual super Brownian motion. An extension to measure-valued branching catalysts is also discussed.},
pages = {no. 25, 1-33},
issn = {1083-6489},
doi = {10.1214/EJP.v6-98},
url = {http://ejp.ejpecp.org/article/view/98}}