Some strong laws for Markov chain fields on a special non- homogeneous tree

摘要

In recent years, Massive researches on Markov random field on tree have been carried out .The strong laws of large numbers is one of the central questions for studying in the international Probability theory. In this paper, some strong laws for Markov chain fields on a Special Non-homogeneous tree are given by constructing a non-negative martingale and using Doob's martingale convergence theorem.