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Math — Markov Chains

Transition matrices and the stationary distribution.

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P_{ij} = \Pr(X_{n+1}=j \mid X_n=i)

\sum_{j} P_{ij} = 1

\pi = \pi P, \quad \sum_i \pi_i = 1

p^{(n)} = p^{(0)} P^{n}