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Long-term behavior for superprocesses over a stochastic flow

   
@article{ECP1081,
	author = {Jie Xiong},
	title = {Long-term behavior for superprocesses over a stochastic flow},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {9},
	year = {2004},
	keywords = {Superprocess, stochastic flow, log-Laplace equation, long-term behavior.},
	abstract = {We study the limit of a superprocess controlled by a stochastic flow as $t\to\infty$. It is proved that when $d \le 2$, this process suffers long-time local extinction; when $d\ge 3$, 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.},
	pages = {no. 5, 36-52},
	issn = {1083-589X},
	doi = {10.1214/ECP.v9-1081},    
        url = {http://ecp.ejpecp.org/article/view/1081}}