Competing super-Brownian motions as limits of interacting particle systems
Dublin Core | PKP Metadata Items | Metadata for this Document | |
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 | |
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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