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Watch the eighth lecture in a graduate-level course on Markov Chains delivered in Portuguese by Professor Milton Jara at the Institute of Pure and Applied Mathematics (IMPA) during the 2025 Summer School. Explore advanced concepts of Markov Chain theory based on Levin, Peres, and Wilmer's book "Markov Chains and Mixing Times." Prerequisites include familiarity with elementary probability concepts (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and basic knowledge of linear algebra. Learn fundamental Markov Chain concepts in the first month, followed by selected topics and recent research applications in the field. The lecture is part of a comprehensive series that combines theoretical foundations with practical applications in contemporary research areas.
