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Watch lecture 11 of a graduate-level course on Markov Chains delivered in Portuguese at the Instituto de Matemática Pura e Aplicada's 2025 Summer School. Learn from Professor Milton Jara as he explores advanced concepts based on the book "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Requires basic probability knowledge (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and beneficial but not mandatory understanding of linear algebra and elementary algebra. Covers fundamental Markov Chain concepts in the first month followed by selected topics and recent research applications. Part of a comprehensive series available at https://bit.ly/3VUQIIs, this 1 hour and 44-minute lecture continues building on the mathematical foundations established in previous sessions.
