摘要
We consider Markov chains in stationary random environments. The conservative set C of the corresponding skew Markov chain of this process can be thought of as a recurrent set of a standard Markov chain. In some simpler cases, we give some sufficient conditions under which the conservative set C can be decomposed into at most countable minimal closed sets.
We consider Markov chains in stationary random environments. The conservative set C of the corresponding skew Markov chain of this process can be thought of as a recurrent set of a standard Markov chain. In some simpler cases, we give some sufficient conditions under which the conservative set C can be decomposed into at most countable minimal closed sets.