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Competing super-Brownian motions as limits of interacting particle systems


 
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1. Title Title of document Competing super-Brownian motions as limits of interacting particle systems
 
2. Creator Author's name, affiliation, country Richard Durrett; Cornell University
 
2. Creator Author's name, affiliation, country Leonid Mytnik; Technion
 
2. Creator Author's name, affiliation, country Edwin Perkins; The University of British Columbia
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) super-Brownian motion, interacting branching particle systems, collision local time, competing species, measure-valued diffusions
 
3. Subject Subject classification 60G57, 60G17
 
4. Description Abstract We study two-type branching random walks in which the birth or death rate of each type can depend on the number of neighbors of the opposite type. This competing species model contains variants of Durrett's predator-prey model and Durrett and Levin's colicin model as special cases. We verify in some cases convergence of scaling limits of these models to a pair of super-Brownian motions interacting through their collision local times, constructed by Evans and Perkins.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF, US-Israel Binational Science Foundation, Israel Science Foundation, Natural Sciences and Engineering Research Council of Canada, Banff International Research Station
 
7. Date (YYYY-MM-DD) 2005-09-09
 
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/229
 
10. Identifier Digital Object Identifier 10.1214/EJP.v10-229
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 10
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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