The Annals of Probability
- Ann. Probab.
- Volume 24, Number 4 (1996), 1953-1978.
Superprocesses in random environments
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.
Ann. Probab., Volume 24, Number 4 (1996), 1953-1978.
First available in Project Euclid: 6 January 2003
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60G57: Random measures 60F17: Functional limit theorems; invariance principles
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60H15: Stochastic partial differential equations [See also 35R60]
Mytnik, Leonid. Superprocesses in random environments. Ann. Probab. 24 (1996), no. 4, 1953--1978. doi:10.1214/aop/1041903212. https://projecteuclid.org/euclid.aop/1041903212