【摘要】 在π-不可约条件下,得到随机环境中的马氏链瞬时和常返的判定准则,进而得到随机环境中马氏链常返的充要条件;如果环境还是平稳的,则状态空间中不存在非正则本质态.更多还原

【Abstract】 Some criterion that π-irreducible Markov chains in random environments are recurrent or transient are given, thereby the sufficient and necessary condition for recurrence of π-irreducible Markov chains in random environments is obtained. Moreover, if the environments is stationary we prove there isn’t improperly essential state in state space for π-irreducible Markov chains in random environments.更多还原