基本马尔可夫系统
Fundamental Markov systems
摘要:
我们继续发展的理论马尔可夫系统发起的\cite{Wer1}。本文引入了与随机动力系统相联系的基本Markov系统,证明了随机动力系统的平稳初始分布的唯一性和唯一性的证明可简化为与之相联系的基本Markov系统的证明,后者的稳定性判据更为清晰。
英文摘要:
We continue development of the theory of Markov systems initiated in \cite{Wer1}. In this paper, we introduce fundamental Markov systems associated with random dynamical systems and show that the proof of the uniqueness and empiricalness of the stationary initial distribution of the random dynamical system reduces to that for the fundamental Markov system associated with it. The stability criteria for the latter are much clearer.
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