40. It follows from the argument made in Exercise 38 that state i is null recurrent if...

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40. It follows from the argument made in Exercise 38 that state i is null recurrent if it is recurrent and πi = 0. Consider the one-dimensional symmetric random walk of Example 4.15.

(a) Argue that πi = π0 for all i.

(b) Argue that all states are null recurrent.

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