图上的随机动力系统及其诱导的马尔可夫链

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 207-214.

图上的随机动力系统及其诱导的马尔可夫链

1. Department of Applied Mathematics,Donghua University2. Zhengzhou Dongxifang Computer Network Engineering Limited,Henan University

收稿日期:2007-10-30 出版日期:2008-06-30 发布日期:2023-09-28
作者简介: ZHENG Jie(1979-), female, native of Xingtai, Hebei, a lecturer of Donghua University, Ph.D., engages in combinatorics and graph theory.

Markov Chain Induced by Random Dynamical System on Graph

1. Department of Applied Mathematics,Donghua University2. Zhengzhou Dongxifang Computer Network Engineering Limited,Henan University

Received:2007-10-30 Online:2008-06-30 Published:2023-09-28
About author: ZHENG Jie(1979-), female, native of Xingtai, Hebei, a lecturer of Donghua University, Ph.D., engages in combinatorics and graph theory.

摘要/Abstract

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 suffcient condition is obtained for that two state vectors can communicate with each other in a random dynamical system(RDS).

关键词: random dynamical system(RDS), Markov chain, communicate

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 suffcient condition is obtained for that two state vectors can communicate with each other in a random dynamical system(RDS).

Key words: random dynamical system(RDS), Markov chain, communicate

中图分类号:

O157.6

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): 207-214.

ZHENG Jie, LIU Chao-yang. Markov Chain Induced by Random Dynamical System on Graph [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 207-214.

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