Recurrence for Markov Chains in Doubly Infinite Random Environments
Zhaoli Jia · Gongcheng shuxue xuebao · 2007
The recurrence-transience criteria aboutπ-irreducible Markov chains in doubly infinite random environments are discussed by using relevant theories of Markov chains. Some equivalence conditions forπ-irreducible Markov chains in doubly infinite random environments being recurrence are obtained, and get a sufficient condition which stronglyπ-irreducible Markov chains are recurrence. Moreover, we also discuss the relations among the states forπ-irreducible Markov chains in doubly infinite random environments.