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Fundamental Theorem of Markov Chain: If a finite Markov chain =(P)is irreducible and aperiodic,then initial distribution(0) (ergodic) limπ(o)pt=π t→∞ where is a unique stationary distribution satisfying πP=πIf a finite Markov chain is irreducible and aperiodic, then ∀ initial distribution M = (⌦, P) ⇡(0) lim t!1 ⇡(0)Pt = ⇡ where is a ⇡ unique stationary distribution satisfying ⇡P = ⇡ Fundamental Theorem of Markov Chain: (ergodic)
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