Geodesic
Limit theorems for Markov processes in a~rapidly changing random environment
Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 239-254

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Markov processes are considered in a rapidly changing random environment; the asymptotic behavior of the distribution for the number of nonappearing states is investigated. A limit theorem is obtained which enables us to approximate the distribution of the number of particles of a birth-and-death branching process in a rapidly changing environment by the limit distributions of an ordinary birth-and-death branching process. Bibliography: 12 titles. 
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     author = {A. V. Chistyakov},
     title = {Limit theorems for {Markov} processes in a~rapidly changing random environment},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_1984_49_1_a14/}
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A. V. Chistyakov. Limit theorems for Markov processes in a~rapidly changing random environment. Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 239-254. http://geodesic.mathdoc.fr/item/SM_1984_49_1_a14/