Study on States for Markov Chains in Ramdom Environments

Cui Jing · Journal of Sichuan University of Science & Engineering · 2011

On the basic theory of Markov Chains,the properties and classification of states of Markov chains in random environments are discussed.First,the relationship between the essential states and properly essential states,and a sufficient condition of properly essential states are presented,based on this fact,the relationship between weak recurrence states and properly essential states is given.Finally,when the combined space is indecomposable,the state space is decomposed.

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