双无限环境中马氏链的存在和不可约性

Existence and Irreduciblity of Markov Chains in Double Infinite Random Environment

讨论了双无限环境中马氏链的存在性；在随机环境中马氏链的研究领域中，引入了π－不可约性的概念，讨论了π－不可约链的部分性质，并由此引入了强π－不可约性的概念．

Existence of Markov chains in double infinite random environment is discussed. The concepts of irreduciblity for Markov chains in doubly infinite random environment are firstle introduced, and their properties are discussed, and therefore strongly irreduciblity is firstly introduced.