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.
Key words Markov chains - environmental processes - conservative sets
The work supported by the Science Foundation of Shanghai Municipal Commission of Education (97AJ06)