ABSTRACT
This article is devoted to the strong law of large numbers and the entropy ergodic theorem for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree, which generalizes the relevant results of tree-indexed nonhomogeneous bifurcating Markov chains. Meanwhile, our proof is quite different from the traditional method.
Acknowledgments
The author would like to thank the editor and the anonymous reviewers for their valuable comments which allowed me to improve the quality of this article significantly.