I understand the basic idea and definition behind the irreducibility of Markov chains (all states communicate), but I couldn't quite figure out why we call it "irreducible." What's the motivation for giving Markov chains that label in particular as opposed to some other word? What part of the Markov chain is actually "irreducible"?
2026-03-25 19:58:58.1774468738
What's the intuitive reason for why Markov chains are sometimes called "irreducible"?
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