| 弱对称Markov积分半群的表示 |
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| 引用本文： | 王金金,李扬荣. 弱对称Markov积分半群的表示[J]. 数学杂志, 2011, 31(4) |
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| 作者姓名： | 王金金 李扬荣 |
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| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | Supported by National Natural Science Foundation of China(20700501) |
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| 摘 要： | 本文研究了弱对称Markov积分半群的表示.利用积分的方法,获得了弱对称Markov积分半群的Kendall和Karlin-McGregor表示,推广了转移函数的Kendall和Karlin-McGregor表示.
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| 关 键 词： | Markov积分Q-半群 连续时间Markov链 弱对称性 表示 |
REPRESENTATION OF WEAKLY SYMMETRIC MARKOV INTEGRATED SEMIGROUPS |
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| WANG Jin-jin,LI Yang-rong. REPRESENTATION OF WEAKLY SYMMETRIC MARKOV INTEGRATED SEMIGROUPS[J]. Journal of Mathematics, 2011, 31(4) |
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| Authors: | WANG Jin-jin LI Yang-rong |
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| Affiliation: | WANG Jin-jin,LI Yang-rong (School of Math. and Statistics,Southwest University,Chongqing 400715,China) |
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| Abstract: | In this article, we study representations of weakly symmetric Markov integrated semigroups. By integration, we get Kendall's and Karlin-McGregor's representation theorems of weakly symmetric Markov integrated semigroups and generalize Kendall's and Karlin-McGregor's representations of transition functions. |
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| Keywords: | Markov integrated Q-semigroups CTMCs weak symmetry representation |
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