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Zbl 1126.60086
Zhou, Xiaowen
A superprocess involving both branching and coalescing. (English)
[J] Ann. Inst. Henri Poincaré, Probab. Stat. 43, No. 5, 599-618 (2007). ISSN 0246-0203

Summary: We consider a superprocess with coalescing Brownian spatial motion. We first point out a dual relationship between two systems of coalescing Brownian motions. In consequence we can express the Laplace functionals for the superprocess in terms of coalescing Brownian motions, which allows us to obtain some explicit results. We also point out several connections between such a superprocess and the Arratia flow. A more general model is discussed at the end of this paper.

MSC 2000:: *60K35 Interacting random processes
60G57 Random measures
60J65 Brownian motion
60J80 Branching processes

Keywords: coalescing simple random walk; coalescing Brownian motion; duality; superprocess with coalescing Brownian spatial motion; arratia flow; Laplace functional; Feller's branching diffusion; Bessel process

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