Some limit properties for Markov chains indexed by a homogeneous tree

By Weiguo Yang. 2003

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Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree (2008, methodology): “The result of the present paper is achieved by refining the methods of [ 12 ], where a strong law of numbers and Shannon-McMillan theorem were proved for Markov chains indexed by a homogeneous tree with finite states.”
Detection of cellular aging in a Galton-Watson process (2008, methodology): “We mention the results of Yang [21] and Huang and Yang [13] on strong law of large numbers for at most countable Markov chains on non-random tree (homogeneous or not).”