| 图上的随机动力系统及其诱导的马尔可夫链 |
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| 引用本文： | 郑洁,刘朝阳.图上的随机动力系统及其诱导的马尔可夫链[J].数学季刊,2008,23(2). |
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| 作者姓名： | 郑洁 刘朝阳 |
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| 作者单位： | 郑洁,ZHENG Jie(Department of Applied Mathematics,Donghua University,Shanghai 201620,China);刘朝阳,LIU Chao-yang(Zhengzhou Dongxifang Computer Network Engineering Limited,Henan University,Zhengzhou 450008,China) |
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| 摘 要： |
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| 关 键 词： | 图 随机动力系统 诱导方法 马尔可夫链 |
Markov Chain Induced by Random Dynamical System on Graph |
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| ZHENG Jie,LIU Chao-yang.Markov Chain Induced by Random Dynamical System on Graph[J].Chinese Quarterly Journal of Mathematics,2008,23(2). |
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| Authors: | ZHENG Jie LIU Chao-yang |
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| Institution: | [1]Department of Applied Mathematics, Donghua University, Shanghai 201620, China [2]Zhengzhou Dongxifang Computer Network Engineering Limited, Henan University, Zhengzhou 450008, China |
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| Abstract: | In this paper,we define a model of random dynamical systems(RDS)on graphs and prove that they are actually homogeneous discrete-time Markov chains.Moreover,a necessary and sufficient condition is obtained for that two state vectors can communicate with each other in a random dynamical system(RDS). |
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| Keywords: | random dynamical system(RDS) Markov chain communicate |
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