Logic behind the stationary distribution

Logic behind the stationary distribution

Python Stochastic Process Markov Chains Linear Algebra

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Hi,

Suppose you are given the following transition matrix:

    P = np.array([[0.15, 0.75, 0.10],
    
              [0.95, 0.0, 0.05],
    
              [0.45, 0.20, 0.35]])

Explain what a stationary distribution is and how to calculate it. Then, use the given transition matrix above and find the stationary distribution.

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Logic behind the stationary distribution