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THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT
引用本文:胡迪鹤. THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J]. 数学物理学报(B辑英文版), 2005, 25(1): 23-29. DOI: 10.1016/S0252-9602(17)30257-6
作者姓名:胡迪鹤
作者单位:CollegeofMathematicsandStatistics,WuhanUniversity,Wuhan,430072,China
基金项目:国家自然科学基金,武汉大学校科研和教改项目
摘    要:This paper is a continuation of [8]. In Section 1, three kinds of communication are introdnced for two states and the relations among them are investigated. In Section 2, two kinds of period of a state are introdnced and it is obtained that the period is a “class property” ,i.e. two states x and y belong to same class implies the period of x is equal to the period of y.

关 键 词:马尔可夫链 随机环境 循环状态 周期
收稿时间:2003-04-29

THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT
HU Dihe. THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J]. Acta Mathematica Scientia, 2005, 25(1): 23-29. DOI: 10.1016/S0252-9602(17)30257-6
Authors:HU Dihe
Affiliation:1. Department of Mathematical Sciences College of Science, The United Arab Emirates University P.O. Box, Al Ain Abu Dhabi, 15551, UAE;2. Institute of Mathematics named after V.I.Romanovski 4b University str., 100125, Tashkent;3. AKFA University, 1st Deadlock 10 Kukcha Darvoza, Tashkent 100095, Uzbekistan;4. Department of Mathematical Sciences Faculty of Science, Universiti Teknologi Malaysia Johor Bahru 81310, Malaysia;1. İzmir Institute of Technology (IZTECH), Electrical-Electronics Engineering, İzmir, Turkey;2. ISTI-CNR, via G. Moruzzi 1, 56124, Pisa, Italy
Abstract:This paper is a continuation of [8]. In Section 1, three kinds of communication are introdnced for two states and the relations among them are investigated. In Section 2,two kinds of period of a state are introdnced and it is obtained that the period is a "class property" ,i.e. two states x and y belong to same class implies the period of x is equal to the period of y.
Keywords:Markov chain in random environment  recurrent state  transient state  period
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