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A large deviation principle for a Brownian immigration particle system

Part of: Limit theorems Markov processes

Published online by Cambridge University Press:  14 July 2016

Mei Zhang
Mei Zhang*
Affiliation:
Beijing Normal University
*
∗Postal address: School of Mathematical Science, Beijing Normal University, Beijing, 100875, P. R. China. Email address: [email protected]
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Abstract

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We derive a large deviation principle for a Brownian immigration branching particle system, where the immigration is governed by a Poisson random measure with a Lebesgue intensity measure.

Keywords

Large deviation principleBrownian particle systemimmigration process

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 42 , Issue 4 , December 2005 , pp. 1120 - 1133
Copyright
© Applied Probability Trust 2005 

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