Superprocesses in random environments
Mytnik, Leonid
Ann. Probab., Tome 24 (1996) no. 2, p. 1953-1978 / Harvested from Project Euclid
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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.
Publié le : 1996-10-14
Classification:  Measure-valued processes,  superprocess,  martingale problem,  duality,  random environment,  60G57,  60F17,  60J80,  60H15 
@article{1041903212,
     author = {Mytnik, Leonid},
     title = {Superprocesses in random environments},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 1953-1978},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1041903212}
}

Mytnik, Leonid. Superprocesses in random environments. Ann. Probab., Tome 24 (1996) no. 2, pp.  1953-1978. http://gdmltest.u-ga.fr/item/1041903212/