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lectures/markov_chains_I.md
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```
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* $P$ is the stochastic matrix for recession and growth considered in {ref}`Example 1: Economic states <mc_eg2>`.
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* The highest red dot is an arbitrarily chosen initial marginal probability distribution $\psi_0$, represented as a vector in $\mathbb R^3$.
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* The other red dots are the marginal distributions $\psi_0 P^t$ for $t = 1, 2, \ldots$.
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