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Add ones vectors
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lectures/eigen_II.md

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@@ -395,6 +395,8 @@ In the {ref}`exercise<mc1_ex_1>`, we stated that the convergence rate is determi
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This can be proven using what we have learned here.
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Please note that we use $\mathbb{1}$ for a vector of ones in this lecture.
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With Markov model $M$ with state space $S$ and transition matrix $P$, we can write $P^t$ as
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$$

lectures/markov_chains_II.md

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@@ -209,6 +209,8 @@ Theorem 5.2 of {cite}`haggstrom2002finite`.
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(ergodicity)=
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## Ergodicity
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Please note that we use $\mathbb{1}$ for a vector of ones in this lecture.
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Under irreducibility, yet another important result obtains:
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````{prf:theorem}

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