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