The existence and properties of Ψ-irreducibility on skew product markov chains
Guo Guang-yao · Journal of Wuhan Institute of Technology · 2007
Let {X→} be Markov Chains in random environments with countable State space.In this paper,first of all,we introduce Hopf Markov Chains and skew product Markov Chains.Further,we define φ-irreducibility On Markov Chains in random environments,its equivalence definition and main properties by skew product Markov Chains and the properties of Ψ-irreducibility are obtained.Besides,we investigate the properties of support,closed sets,invariant measure and subinvariant measure in Ψ-irreducibility.