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Attend lecture 19 of the Master's level course on Markov Chains, delivered in Portuguese by Professor Milton Jara at the Instituto de Matemática Pura e Aplicada (IMPA) during the 2025 Summer School. Learn fundamental concepts of Markov Chains based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Explore basic probability theory (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and gain exposure to linear algebra and elementary algebra concepts. Discover applications of Markov Chain theory in recent research areas during the second part of the course, which follows an initial month covering foundational chapters. Access additional IMPA educational content through their social media channels and official website, noting that all materials are protected by copyright and require explicit authorization for use beyond standard educational purposes.
