| Standard tri-point transition function |
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| 引用本文： | XIE Yuquan School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China. Standard tri-point transition function[J]. 中国科学A辑(英文版), 2005, 48(7): 904-914. DOI: 10.1007/BF02879073 |
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| 作者姓名： | XIE Yuquan School of Mathematics and Computational Science Xiangtan University Xiangtan 411105 China |
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| 作者单位： | XIE Yuquan School of Mathematics and Computational Science，Xiangtan University，Xiangtan 411105，China |
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| 摘 要： | It is usually difficult to express a family of tri-point transition function (TTF) by a transition matrix as Markov processes with one parameter. In this paper, we define three kinds of connection matrixes on the states of standard tri-point transition function (STTF) and study their essential character, give a constructive method on the constant-value standard tri-point transition function and a general expression of the state-symmetric standard tri-point transition function by a sequence of the transition matrixes of special and simple Markov processes with one parameter.
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| 收稿时间： | 2004-03-08 |
Standard tri-point transition function |
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| XIE Yuquan. Standard tri-point transition function[J]. Science in China(Mathematics), 2005, 48(7): 904-914. DOI: 10.1007/BF02879073 |
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| Authors: | XIE Yuquan |
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| Affiliation: | School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China |
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| Abstract: | It is usually difficult to express a family of tri-point transition function (TTF) by a transition matrix as Markov processes with one parameter. In this paper, we define three kinds of connection matrixes on the states of standard tri-point transition function (STTF) and study their essential character, give a constructive method on the constant-value standard tri-point transition function and a general expression of the state-symmetric standard tri-point transition function by a sequence of the transition matrixes of special and simple Markov processes with one parameter. |
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| Keywords: | tri-point transition function standard constant-value state-symmetry connection matrix Markov processes. |
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