The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree |
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| Authors: | Hui Dang |
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| Institution: | School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, China |
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| Abstract: | This article is devoted to the strong law of large numbers and the entropy ergodic theorem for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree, which generalizes the relevant results of tree-indexed nonhomogeneous bifurcating Markov chains. Meanwhile, our proof is quite different from the traditional method. |
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| Keywords: | Entropy ergodic theorem M-branch Cayley tree Nonhomogeneous M-bifurcating Markov chains Strong law of large numbers |
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