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Local extinction for superprocesses in random environments

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Local extinction for superprocesses in random environments
2.	Creator	Author's name, affiliation, country	Leonid Mytnik; Technion
2.	Creator	Author's name, affiliation, country	Jie Xiong; University of Tennessee and Hebei Normal University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	We consider a superprocess in a random environment represented by a random measure which is white in time and colored in space with correlation kernel $g(x,y)$. Suppose that $g(x,y)$ decays at a rate of $|x-y|^{-\alpha}$, $0\leq \alpha\leq 2$, as $|x-y|\to\infty$. We show that the process, starting from Lebesgue measure, suffers longterm local extinction. If $\alpha < 2$, then it even suffers finite time local extinction. This property is in contrast with the classical super-Brownian motion which has a non-trivial limit when the spatial dimension is higher than 2. We also show in this paper that in dimensions $d=1,2$ superprocess in random environment suffers local extinction for any bounded function $g$.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2007-11-03
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/457
10.	Identifier	Digital Object Identifier	10.1214/EJP.v12-457
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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