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Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions
- 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 .
Author details: | Nicolas Champagnat, Sylvie RoellyGND |
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URN: | urn:nbn:de:kobv:517-opus-18610 |
Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (paper 065) |
Publication type: | Postprint |
Language: | English |
Publication year: | 2008 |
Publishing institution: | Universität Potsdam |
Release date: | 2008/05/23 |
Tag: | conditioned; conditioned Feller diffusion; critical and subcritical Dawson-Watanabe process; multitype measure-valued branching processes |
Source: | Electronic journal of probability. - ISSN 1083-6489. - 13 (2008), paper no. 25, pp. 777 – 810 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Extern / Extern | |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
License (German): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
External remark: | AMS 2000 Subject Classification: 60J80 , 60G57
first published in: Electronic journal of probability. - 13 (2008), paper no. 25, pp. 777 – 810 ISSN: 1083-6489 (Print) URL: http://www.math.washington.edu/~ejpecp/viewarticle.php?id=1798 |