图上的随机动力系统及其诱导的马尔可夫链
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).
作 者： 郑洁 刘朝阳 ZHENG Jie LIU Chao-yang 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)
刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(2) 分类号： O157.6 关键词： random dynamical system(RDS) Markov chain communicate