Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
- Cite this article as:
- Huang, H. & Yang, W. Sci. China Ser. A-Math. (2008) 51: 195. doi:10.1007/s11425-008-0015-1
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In this paper, we study the strong law of large numbers and Shannon-McMillan (S-M) theorem for Markov chains indexed by an infinite tree with uniformly bounded degree. The results generalize the analogous results on a homogeneous tree.