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 .

Metadaten
Verfasserangaben:	Nicolas Champagnat, Sylvie Roelly GND
URN:	urn:nbn:de:kobv:517-opus-18610
Schriftenreihe (Bandnummer):	Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (paper 065)
Publikationstyp:	Postprint
Sprache:	Englisch
Erscheinungsjahr:	2008
Veröffentlichende Institution:	Universität Potsdam
Datum der Freischaltung:	23.05.2008
Freies Schlagwort / Tag:	conditioned; conditioned Feller diffusion; critical and subcritical Dawson-Watanabe process; multitype measure-valued branching processes
Quelle:	Electronic journal of probability. - ISSN 1083-6489. - 13 (2008), paper no. 25, pp. 777 – 810
Organisationseinheiten:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
	Extern / Extern
DDC-Klassifikation:	5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Lizenz (Deutsch):	Keine öffentliche Lizenz: Unter Urheberrechtsschutz
Externe Anmerkung:	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