Document Zbl 1406.60048

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Strong law of large numbers for countable Markov chains indexed by an infinite tree with uniformly bounded degree. (English) Zbl 1406.60048

J. Appl. Math. 2014, Article ID 325361, 5 p. (2014).

Summary: We study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by an infinite tree with uniformly bounded degree, which extends the corresponding results of countable Markov chains indexed by a Cayley tree and generalizes the relative results of finite Markov chains indexed by a uniformly bounded tree.

MSC:

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

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