In Section 1, the authors establish the models of two kinds of Markov chains in space-time
random environments (MCSTRE and MCSTRE (+)) with abstract state space. In Section 2 …

There are three parts in this article. In Section 1, we establish the model of branching chain
with drift in space-time random environment (BCDSTRE), ie, the coupling of branching chain …

in space-time random environments (MCSTRE and MCSTRE (+)) with abstract state space.
In Section 2, the authors construct a MCSTRE and a MCSTRE (+) by an initial distribution Φ …