Ergodic theory for a superprocess over a stochastic flow

Zenghu Li, Jie Xiong and Mei Zhang

Stochastic Processes and their Applications, 2010, vol. 120, issue 8, 1563-1588

Abstract: 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.

Keywords: Superprocess; Dependent; spatial; motion; Ergodic; theorem; Branching; particle; system; Non-linear; SPDE; Conditional; log-Laplace; functional (search for similar items in EconPapers)
Date: 2010
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