The strong law of large numbers and the Shannon–McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree

• DOI: 10.1016/j.spl.2011.06.021
• Publication Date: 2011-07-15T19:38:51Z
• Authors: Yan Dong; Weiguo Yang; Jianfang Bai
• Keywords: Tree (set theory); Cayley graph

Abstract In this paper, we study the strong law of large numbers and the Shannon–McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree. This article generalizes the relative results of level nonhomogeneous Markov chains indexed by a Cayley tree.