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Superprocesses in Random Environments

Leonid Mytnik
The Annals of Probability
Vol. 24, No. 4 (Oct., 1996), pp. 1953-1978
Stable URL: http://www.jstor.org/stable/2959588
Page Count: 26
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Superprocesses in Random Environments
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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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