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Question 2 Let (Xn)neNo be a time-homogeneous Markov process defined on a state space S with transition matrix P. For each state i E S

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Question 2 Let (Xn)neNo be a time-homogeneous Markov process defined on a state space S with transition matrix P. For each state i E S let per(i) denote its period. Assume that S| 2 2 (meaning: there are at least two states). Moreover, assume that (Xn)ner, admits a limit distribution 7; := lim P[X, = i| Xo = j], i,j es, n-+00 which is uniquely determined by the equation . = TP. Then _ per(i) > 2. iEs YES NO

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