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Update markov_chains_II.md
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katicyan committed Jan 18, 2025
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Expand Up @@ -58,7 +58,7 @@ import numpy as np

To explain irreducibility, let's take $P$ to be a fixed stochastic matrix.

State $x$ is called **accessible** (or **reachable**) from state $y$ if $P^t(x,y)>0$ for some integer $t\ge 0$.
State $y$ is called **accessible** (or **reachable**) from state $x$ if $P^t(x,y)>0$ for some integer $t\ge 0$.

Two states, $x$ and $y$, are said to **communicate** if $x$ and $y$ are accessible from each other.

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