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Superprocesses with Dependent Spatial Motion and General Branching Densities


 
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1. Title Title of document Superprocesses with Dependent Spatial Motion and General Branching Densities
 
2. Creator Author's name, affiliation, country Donald A. Dawson; Carleton University
 
2. Creator Author's name, affiliation, country Zenghu Li; Beijing Normal University
 
2. Creator Author's name, affiliation, country Hao Wang; University of Oregon
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) superprocess, interacting-branching particle system, diffusion process, martingale problem, dual process, rescaled limit, measure-valued catalyst.
 
3. Subject Subject classification Primary 60J80, 60G57; Secondary 60J35.
 
4. Description Abstract We construct a class of superprocesses by taking the high density limit of a sequence of interacting-branching particle systems. The spatial motion of the superprocess is determined by a system of interacting diffusions, the branching density is given by an arbitrary bounded non-negative Borel function, and the superprocess is characterized by a martingale problem as a diffusion process with state space $M({\bf R})$, improving and extending considerably the construction of Wang (1997, 1998). It is then proved in a special case that a suitable rescaled process of the superprocess converges to the usual super Brownian motion. An extension to measure-valued branching catalysts is also discussed.
 
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7. Date (YYYY-MM-DD) 2001-05-25
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/98
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-98
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en en
 
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