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 Electronic Communications in Probability > Vol. 9 (2004) > Paper 5 open journal systems 


Long-term behavior for superprocesses over a stochastic flow

Jie Xiong, University of Tennessee


Abstract
We study the limit of a superprocess controlled by a stochastic flow as $ttoinfty$. It is proved that when $d le 2$, this process suffers long-time local extinction; when $dge 3$, it has a limit which is persistent. The stochastic log-Laplace equation conjectured by Skoulakis and Adler (2001) and studied by this author (2004) plays a key role in the proofs like the one played by the log-Laplace equation in deriving long-term behavior for usual super-Brownian motion.


Full text: PDF

Pages: 36-52

Published on: April 7, 2004
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Electronic Communications in Probability. ISSN: 1083-589X