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Now assume that you are given an N-state Markov chain, in which each state has bi-directional...

Now assume that you are given an N-state Markov chain, in which each state has bi-directional connections with its two neighboring states (i.e., the neighboring states of S1 are S2 and SN; the neighboring states of S2 are S1 and S3, ..., and the neighboring states of SN−1 are SN−2 and SN ). Identify under what conditions (i.e., what values of N) will this N-state Markov chain have a periodic recurrent class, and justify your answer

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