The average density of super-Brownian motion
- Mörters, Peter
2010 Mathematics Subject Classification
- 60G57 60G17 28A80
- super-Brownian motion, measure-valued diffusion, random fractal, average density
In this paper we prove the existence of average densities for the support of a super Brownian motion at a fixed time. Our result establishes a dimension-dependent fractal parameter for super-Brownian motion, which enables us to compare the local mass density of the super-Brownian motion at a fixed time with the local mass density of the occupation measure of a standard Brownian motion.