Markov Chain Induced by Random Dynamical System on Graph

Markov Chain Induced by Random Dynamical System on Graph

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摘要 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（tLDS）.

作者 ZHENG Jie LIU Chao-yang

机构地区 Department of Applied Mathematics Zhengzhou Dongxifang Computer Network Engineering Limited

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期207-214,共8页 数学季刊（英文版）

基金 Foundation item： Supported by the Science Foundation of Donghua University

关键词 random dynamical system（RDS） Markov chain communicate 图随机动力系统诱导方法马尔可夫链

分类号 O157.6 [理学—基础数学]

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Chinese Quarterly Journal of Mathematics

2008年第2期

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Markov Chain Induced by Random Dynamical System on Graph

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