\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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For a regular Markov chain, as \(n\) tends to infinity, the distribution \(\pi_n\):
Converges to a unique steady state \(\pi\), regardless of the initial state \(\pi_0\).
Depends more and more on the initial state \(\pi_0\).
Continues to oscillate and never stabilizes.
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