2015/09/01 by Vladimir Vatutin, Quansheng Liu
Mathematics · Decision Sciences · #Stochastic processes and statistical mechanics #Probability and Risk Models #Markov Chains and Monte Carlo Methods
paper · pdf · doi:10.1017/s0021900200113506
We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.