Mathematics, 06.03.2020 23:41 Hayes0515

A Markov Chain with a finite number of states is said to be regular if there exists a non negative integer n such that for any i, j ∈ S, P(n)i, j > 0 for any n >_ n.
(a) Prove that a regular Markov Chain is irreducible.
(b) Prove that a regular Markov Chain is aperiodic.

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A Markov Chain with a finite number of states is said to be regular if there exists a non negative integer n such that for any i, j ∈ S, P(n)i, j > 0 for any n >_ n. (a) Prove that a regular Markov Chain is irreducible. (b) Prove that a regular Markov Chain is aperiodic.

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A Markov Chain with a finite number of states is said to be regular if there exists a non negative integer n such that for any i, j ∈ S, P(n)i, j > 0 for any n >_ n.
(a) Prove that a regular Markov Chain is irreducible.
(b) Prove that a regular Markov Chain is aperiodic.