Ergodic theory for a superprocess over a stochastic flow

We study the long time limiting behavior of the occupation time of the superprocess over a stochastic flow introduced by Skoulakis and Adler (2001) [13]. The ergodic theorems for dimensions d=2 and d>=3 are established. The proofs depend heavily on a characterization of the conditional log-Laplace equation of the occupation time process.

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Year of publication:	2010
Authors:	Li, Zenghu ; Xiong, Jie ; Zhang, Mei
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 120.2010, 8, p. 1563-1588
Publisher:	Elsevier
Keywords:	Superprocess Dependent spatial motion Ergodic theorem Branching particle system Non-linear SPDE Conditional log-Laplace functional

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874228