WIAS Preprint No. 477, (1999)

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.

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