On the connected components of the support of super Brownian motion and of its exit measure
The main purpose of the paper is to study the support of super Brownian motion and of its exit measure. A new proof of \textit{R. Tribe}'s result [Probab. Theory Relat. Fields 89, No. 1, 75-87 (1991; Zbl 0722.60084)] that every point of support of super Brownian motion considered at a fixed time is a.s. disconnected from others when the space dimension is greater than or equal to 3 is given. The basic tool for this goal is the Brownian snake. As an application of this approach an analogous result for the support of the exit measure of the super Brownian motion from a smooth bounded domain of \(R^d\) when \(d \geq 4\) is obtained.
scientific article; zbMATH DE number 859315