Superprocesses in Random Environments
WORLD SCIENTIFIC eBooks · 2013
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.