非齐次树上马氏双链的一个强极限定理

树指标随机过程已成为近年发展起来的概率论的研究方向之一.强极限定理一直是国际概率论界研究的中心课题之一.通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,研究给出了一类非齐次树上马氏双链的一个强极限定理.

A strong limit theorem about double Markov chains on a non-homogenous tree

In recent years, tree indexed stochastic process has become one of the hot topics in probability theory. The strong limit theorem has been one of the central issues of the international probability theory. In this paper, through constructing a non-negative martingale and applies Doob′s martingale convergence theorem to the research of a.e. convergence, a strong limit theorem about double Markov chains on a non-homogenous tree is given.