[1] Chung K L. Markov chains with stationary transition probabilities. 2nd ed. New York: Springer, 1967

[2] Cogburn R. Markov chains in random environments: The case of Markovian environments. Ann Probab,

1980, 8: 908-916

[3] Cogburn R. The ergodic theory of Markov chains in random environments. Z Wahrsch Verw Gebiete,

1984, 66: 109-128

[4] Cogburn R. On direct convergence and periodicity for transition probabilities of Markov chains in random

environments. Ann Probab, 1990, 18: 642-654

[5] Cogburn R. On the central limit theorem for Markov chains in random environments. Ann Probab, 1991,

19: 587-604

[6] Hu D. The theory of denumerable Markov processes. Wuhan: Wuhan University Press, 1983

[7] Hu D. The limit distribution of functional for Markov chains. Wuhan DaXue Xuebao, 1977, 3: 63-79

[8] Hu D. From p−m chain to Markov chain in random environment. Chin Ann Math, 2004, 25A(1): 65-78

[9] Kifer Y. Limit theorems for random transformations and processes in random environments. Tran Amer

Math Soci, 1998, 350: 1481-1518

[10] Li Y. The recurrence and invariant measures for Markov chains in bi- infinite environments. Science in

China, 2001, 31A: 702,707

[11] Nawrotzki K. Discrete open system or Markov chains in a random environment, I,II. J Inform Process,

Cybernet, 1981-1982, 17: 569-599; 18: 83-98

[12] Orey S. Markov chains with stochastically stationary transition probabilities. Ann Probab, 1991, 19:

907-928

[13] Hu D. The existence and moments of canonical branching chain in random environment. Acta Math Sci,

2004, 24B(3): 499-506