Dissertation > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process > Markov process

The Study of Some Problems in Skew Product Markov

Author WangXiaoYun
Tutor DingWanDing;ZhuDongJin
School Anhui Normal University
Course Applied Mathematics
Keywords random enviroments Markov chains essential inessential properly essential improperly essential weak recurrence strongly recurrence lead uniform lead min lead
CLC O211.62
Type Master's thesis
Year 2006
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In this paper we discuss the classification of states and the invariant measure in coupling space in skew produce Markov chains.On the aspect of the classification of states,first we study some properties of weak recurrence and the contact between recurrent and properly essential in skew product Markov chains.Secondly we study some results of min-lead which is similar with uniform lead’s.Thirdly the decomposition in state space of Markov chains in random environments is studied.Lastly the condition of existence of conservative set and the form of invariant probability are given by the theory of Hopf Chains .On the aspect of the invariant measure in coupling space, we further study the invariant measure in coupling space of skew product Markov chains on the foundation of Li Wei.

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