(5) Let P be a Markov chain with state space S. We say that ACS is closed if x € A and P(x, y) > 0 implies y A. A is irr

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5 Let P Be A Markov Chain With State Space S We Say That Acs Is Closed If X A And P X Y 0 Implies Y A A Is Irr 1 (30.01 KiB) Viewed 13 times

(5) Let P be a Markov chain with state space S. We say that ACS is closed if x € A and P(x, y) > 0 implies y A. A is irreducible if x, y = A implies Pn(x, y) > 0 for some n. Give an example of a Markov chain and sets B, C C S such that B is closed but not irreducible and C is irreducible but not closed.