| THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT |
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| 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 |
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| 作者姓名： | 胡迪鹤 |
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| 作者单位： | CollegeofMathematicsandStatistics,WuhanUniversity,Wuhan,430072,China |
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| 基金项目： | 国家自然科学基金，武汉大学校科研和教改项目 |
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| 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.
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| 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 |
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| 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 |
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| Authors: | HU Dihe |
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| 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 |
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| 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. |
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| Keywords: | Markov chain in random environment recurrent state transient state period |
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