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Moderate deviation for super-Brownian Motion with super-Brownian immigration

Part of: Limit theorems Markov processes

Published online by Cambridge University Press:  14 July 2016

Wen-Ming Hong
Wen-Ming Hong*
Affiliation:
Beijing Normal University
*
∗ Postal address: Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China. Email address: [email protected]
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Abstract

Moderate deviation principles are established in dimensions d ≥ 3 for super-Brownian motion with random immigration, where the immigration rate is governed by the trajectory of another super-Brownian motion. It fills in the gap between the central limit theorem and large deviation principles for this model which were obtained by Hong and Li (1999) and Hong (2001).

Keywords

Large deviationsuper-Brownian motionrandom immigrationevolution equation

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60F05: Central limit and other weak theorems
Type
Research Papers
Information
Journal of Applied Probability , Volume 39 , Issue 4 , December 2002 , pp. 829 - 838
Copyright
Copyright © Applied Probability Trust 2002 

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Footnotes

Supported by the National Natunal Science Foundation of China (grants 10101005 and 10121101).

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