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Lecture
Asymptotic Behavior of Markov Chains
Description
This lecture covers the asymptotic behavior of Markov chains, focusing on recurrent states, invariant distributions, convergence to equilibrium, and the Perron-Frobenius Theorem. It explains the concepts of irreducibility, aperiodicity, positive recurrence, and the uniqueness of invariant distributions. The lecture also discusses the rate of convergence, PageRank algorithm, and Google's use of Markov chains for ranking web pages.
Official source
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