Title of article
Ergodic theory for a superprocess over a stochastic flow
Author/Authors
Li، نويسنده , , Zenghu and Xiong، نويسنده , , Jie and Zhang، نويسنده , , Mei، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
26
From page
1563
To page
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 , Non-linear SPDE , Branching particle system , Conditional log-Laplace functional
Journal title
Stochastic Processes and their Applications
Serial Year
2010
Journal title
Stochastic Processes and their Applications
Record number
1578304
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