随机环境中马氏链的直接收敛

Direct convergence of Markov chains in random environments

文章给出了E上的一种关系——直接收敛,并证明直接收敛是E上的一种等价关系;由这种关系将乘积空间进行划分,若将直接收敛限制在C1上,则它与相遇关系等价。

This paper studies the equivalence relation of direct convergence in E. Five propositions are presented, and then it is proved that they are all equivalent. The space of E^θ is also decomposed. If the direct convergence is confined to C1 , the relation is equivalent.