Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits
Probability
2011-02-19 v1
Abstract
A superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson {\it et al.} (2001) and Wang (1997, 1998).
Cite
@article{arxiv.math/0606621,
title = {Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits},
author = {Donald A. Dawson and Zenghu Li and Xiaowen Zhou},
journal= {arXiv preprint arXiv:math/0606621},
year = {2011}
}