| 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. |
| 关键词: Markov积分Q-半群 连续时间Markov链 弱对称性 表示 |
| DOI: |
| 分类号:O177.2 |
| 基金项目:Supported by National Natural Science Foundation of China(20700501) |
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| REPRESENTATION OF WEAKLY SYMMETRIC MARKOV INTEGRATED SEMIGROUPS |
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WANG Jin-jin,LI Yang-rong
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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. |
| Key words: Markov integrated Q-semigroups CTMCs weak symmetry representation |