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Topologically Transitive Property of Markov Chain | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 16, Issue 2, 2011, Pages 100-103 | ||
| Author | ||
| Payman M. Mahmood | ||
| Abstract | ||
| In this paper, we give topologically transitive property to a dynamical system in ergodic theory for there more we study their effects on Markov chain. We show that the Markov chain is topologically transitive if and only if (if) its directed graph is irreducible or its transition matrix is irreducible (primitive). | ||
| Keywords | ||
| Dynamical system; Markov chain; irreducibility; primitive; topologically transitive; directed graph; transition matrix | ||
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