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Strong laws of large numbers for countable Markov chains indexed by a Cayley tree. (Chinese. English summary) Zbl 1488.60061

Summary: In this paper, we study the strong laws of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by a Cayley tree, which extend and improve the corresponding results of the finite states case.

MSC:

60F15 Strong limit theorems
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
Full Text: DOI