On the large scale behavior of super-Brownian motion in three dimensions with a single point source
Probability
2007-05-23 v1 Analysis of PDEs
Abstract
In a recent work, Fleischmann and Mueller (2004) showed the existence of a super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their construction made use of an analytical approach based on the fundamental solution of the heat equation with a one point potential worked out by Albeverio et al. (1995). The present note addresses two properties of this measure-valued process in the three-dimensional case, namely the scaling of the process and the large scale behavior of its mean.
Keywords
Cite
@article{arxiv.math/0607667,
title = {On the large scale behavior of super-Brownian motion in three dimensions with a single point source},
author = {Klaus Fleischmann and Carl Mueller and Pascal Vogt},
journal= {arXiv preprint arXiv:math/0607667},
year = {2007}
}