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October 1996 Superprocesses in random environments
Leonid Mytnik
Ann. Probab. 24(4): 1953-1978 (October 1996). DOI: 10.1214/aop/1041903212

Abstract

We study the limiting behavior of large branching particle systems undergoing random motion, whose branching mechanism is affected by a random environment. The weak convergence result is established for a sequence of such particle systems and the limiting process is characterized as the unique solution of a martingale problem. The proof of uniqueness of the solution for the martingale problem requires an extension of standard duality techniques.

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Leonid Mytnik. "Superprocesses in random environments." Ann. Probab. 24 (4) 1953 - 1978, October 1996. https://doi.org/10.1214/aop/1041903212

Information

Published: October 1996
First available in Project Euclid: 6 January 2003

zbMATH: 0874.60041
MathSciNet: MR1415235
Digital Object Identifier: 10.1214/aop/1041903212

Subjects:
Primary: 60F17 , 60G57
Secondary: 60H15 , 60J80

Keywords: Duality , Martingale problem , Measure-valued processes , random environment , Superprocess

Rights: Copyright © 1996 Institute of Mathematical Statistics

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Vol.24 • No. 4 • October 1996
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