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Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions

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1.	Title	Title of document	Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions
2.	Creator	Author's name, affiliation, country	Nicolas Champagnat; INRIA, France
2.	Creator	Author's name, affiliation, country	Sylvie Roelly; Potsdam University, Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	multitype measure-valued branching processes; conditionedDawson-Watanabe process; critical and subcritical Dawson-Watanabeprocess; conditioned Feller diffusion; remote survival; long time behavior.
3.	Subject	Subject classification	60J80; 60G57
4.	Description	Abstract	A multitype Dawson-Watanabe process is conditioned, in subcritical and critical cases, on non-extinction in the remote future. On every finite time interval, its distribution is absolutely continuous with respect to the law of the unconditioned process. A martingale problem characterization is also given. Several results on the long time behavior of the conditioned mass process-the conditioned multitype Feller branching diffusion-are then proved. The general case is first considered, where the mutation matrix which models the interaction between the types, is irreducible. Several two-type models with decomposable mutation matrices are analyzed too.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2008-05-06
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/504
10.	Identifier	Digital Object Identifier	10.1214/EJP.v13-504
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 13
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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