On the large scale behavior of super-Brownian motion in three dimensions with a single point source

Details On the large scale behavior of super-Brownian motion in three dimensions with a single point source On the large scale behavior of super-Brownian motion in three dimensions with a single point source

2006-07-26

arxiv.org/abs/math/0607667v1

Mathematics

Probability

Scientific paper

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.

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