摘要
利用绕积马氏链的特征数和马氏链的一般理论讨论了随机环境中马氏链的各种状态之间的关系,给出了在联合空间不可分解的条件下状态正则本质与常返的关系,还给出了状态弱常返若干充分条件.
We mainly discuss the Strong relation among all kinds of states by characteristic number of skew Markov Chains and general theorey in Markov Chains, we provide the relation between recurrence staterecurrence and properly essential state where joint space is indecomposable, at last, some sufficient conditions for weak recurrence states are gived.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第19期180-184,共5页
Mathematics in Practice and Theory
基金
安徽省教育厅自然科学基金(KJ2007B184)
校青年基金(2008xqn49)
关键词
随机环境中的马氏链
正则本质
弱常返
强常返
不可分解
markov chains in random environments
properly essential
weak recurrence
strong recurrence
indecomposable
