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A Superprocess Involving Both Branching and Coalescing


A Superprocess Involving Both Branching and Coalescing

Zhou, Xiaowen (2006) A Superprocess Involving Both Branching and Coalescing. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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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.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Zhou, Xiaowen
Series Name:Department of Mathematics & Statistics. Technical Report No. 7/06
Corporate Authors:Concordia University. Department of Mathematics & Statistics
Institution:Concordia University
Date:December 2006
ID Code:6680
Deposited On:03 Jun 2010 20:47
Last Modified:18 Jan 2018 17:29


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