Discrete Mathematics
Irreducibility refers to a property of a Markov chain where it is possible to get from any state to any other state in a finite number of steps. This means that no state can be 'isolated' from others, ensuring that all states communicate with one another. In an irreducible Markov chain, each state can be reached from any other state, which has significant implications for the long-term behavior and steady-state distributions of the chain.
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