Consider an m state markov chain with transition matrix pij

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Reference no: EM13626636

Consider an m state Markov chain with transition matrix pij. Note, as usual, the sum of the entries in any row add to one. The transition matrix is called doubly stochastic the transpose is also a stochastic matrix. I.e., all entries between zero and one and sum of entries across rows and down colums is one. Show that in the doubly stochastic case, the uniform state: pi_i = 1/m is always an invariant measure.

Reference no: EM13626636

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