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Long-term behavior for superprocesses over a stochastic flow


 
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1. Title Title of document Long-term behavior for superprocesses over a stochastic flow
 
2. Creator Author's name, affiliation, country Jie Xiong; University of Tennessee
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Superprocess, stochastic flow, log-Laplace equation, long-term behavior.
 
3. Subject Subject classification Primary 60G57, 60H15; secondary 60J80.
 
4. Description Abstract We study the limit of a superprocess controlled by a stochastic flow as $t\to\infty$. It is proved that when $d \le 2$, this process suffers long-time local extinction; when $d\ge 3$, it has a limit which is persistent. The stochastic log-Laplace equation conjectured by Skoulakis and Adler (2001) and studied by this author (2004) plays a key role in the proofs like the one played by the log-Laplace equation in deriving long-term behavior for usual super-Brownian motion.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSA
 
7. Date (YYYY-MM-DD) 2004-04-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1081
 
10. Identifier Digital Object Identifier 10.1214/ECP.v9-1081
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 9
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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