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July 2001 Asymptotic Results for Super-Brownian Motions and Semilinear Differential Equations
Tzong-Yow Lee
Ann. Probab. 29(3): 1047-1060 (July 2001). DOI: 10.1214/aop/1015345595

Abstract

Limit laws for three-dimensional super-Brownian motion are derived, conditioned on survival up to a large time. A large deviation principle is proved for the joint behavior of occupation times and their difference. These are done via analyzing the generating function and exploiting a connection between probability and differential–integral equations.

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Tzong-Yow Lee. "Asymptotic Results for Super-Brownian Motions and Semilinear Differential Equations." Ann. Probab. 29 (3) 1047 - 1060, July 2001. https://doi.org/10.1214/aop/1015345595

Information

Published: July 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1018.60028
MathSciNet: MR1872735
Digital Object Identifier: 10.1214/aop/1015345595

Subjects:
Primary: 60F10
Secondary: 35K55

Keywords: asymptotics , Branching Brownian motion , large deviations , Measure-valued process , occupations time , semilinear PDE

Rights: Copyright © 2001 Institute of Mathematical Statistics

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Vol.29 • No. 3 • July 2001
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