On the connected components of the support of super Brownian motion and of its exit measure

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:60

Article

关键词: super Brownian motion;    exit measure;    Brownian snake;   

DOI  :  10.1016/0304-4149(95)00060-7

来源: Elsevier

【 摘 要 】

Tribe proved in a previous paper that a typical point of the support of super Brownian motion considered at a fixed time is a.s. disconnected from the others when the space dimension is greater than or equal to 3. We give here a simpler proof of this result based on Le Gall's Brownian snake. This proof can then be adapted in order to obtain an analogous result for the support of the exit measure of the super Brownian motion from a smooth domain of R(d) when d is greater than or equal to 4.

【 授权许可】

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