Central Limit Theorems for a Super-Diffusion over a Stochastic Flow

Mei Zhang ()
Additional contact information
Mei Zhang: Ministry of Education

Journal of Theoretical Probability, 2011, vol. 24, issue 1, 294-306

Abstract: Abstract Central limit theorems of the occupation time of a superprocess over a stochastic flow are proved. For the critical and higher dimensions d≥4, the limits are Gaussian variables. For d=3, the limit is conditional Gaussian. When the stochastic flow disappears, the results degenerate to those for the ordinary super-Brownian motion.

Keywords: Superprocess; Dependent spatial motion; Central limit theorem; Branching particle system; Nonlinear SPDE; Conditional log-Laplace functional; 60J80; 60G57; 60J35 (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-009-0261-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:24:y:2011:i:1:d:10.1007_s10959-009-0261-3

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-009-0261-3

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().