The definition of tree-indexed Markov chains in random environment and their existence |
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| Authors: | Zhiyan Shi Weiguo Yang |
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| Institution: | Faculty of Science, Jiangsu University, Jiangsu, China |
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| Abstract: | This paper gives the definition of tree-indexed Markov chains in random environment with discrete state space, and then studies some equivalent theorems of tree-indexed Markov chains in random environment. Finally, we give the equivalence on tree-indexed Markov chains in Markov environment and double Markov chains indexed by a tree. |
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| Keywords: | Markov chains random environment tree-indexed |
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