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)|
|Series Name:||Department of Mathematics & Statistics. Technical Report No. 7/06|
|Corporate Authors:||Concordia University. Department of Mathematics & Statistics|
|Deposited By:||DIANE MICHAUD|
|Deposited On:||03 Jun 2010 16:47|
|Last Modified:||08 Dec 2010 18:21|
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