关于非齐次马氏链的绝对平均强遍历性

On the Absolvte Mean Strong Ergodic for Nonhomogeneovs Markov Chains

本文给出非齐次马氏链绝对平均强遍历的概念，并给出非齐次马氏链满足这种强遍历的一个充分条件，作为应用，得到了非齐次马氏链熵率存在的一个定理。

In this paper, the notion of the absolute mean strongly ergodic for nonhomogeneous markoy chains is defined, and a sufficient condition under which the nonhomogeneous markov chains possesses this kind of strongly ergodic is given. As a application, a existance theorem of the entropy rate of the nonhomogeneous markov chains is obtained.