@article{EJP504,
author = {Nicolas Champagnat and Sylvie Roelly},
title = {Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
keywords = {multitype measure-valued branching processes; conditionedDawson-Watanabe process; critical and subcritical Dawson-Watanabeprocess; conditioned Feller diffusion; remote survival; long time behavior.},
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.},
pages = {no. 25, 777-810},
issn = {1083-6489},
doi = {10.1214/EJP.v13-504},
url = {http://ejp.ejpecp.org/article/view/504}}