Limiting distributions and regeneration times for multitype branching processes with immigration in a random environment
This article studies sufficient conditions for the existence of a limiting distribution for a multitype branching process (Z(t)) in a random environment. The work extends results by Kaplan, Athreya and Karlin, and Tanny. Another parallel is drawn to the results of Kesten, Kozlov and Spitzer using branching processes with immigration in a random environment as a tool to find limiting distributions for random walks in a random environment. Special interest is given to sufficient criteria for the survival distribution to decrease exponentially fast. Here the environment has to be an i.i.d. sequence.
scientific article; zbMATH DE number 4011600