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Watch the second 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. Learn fundamental concepts of Markov Chains based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Gain insights into basic probability theory (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") with some knowledge of linear algebra and elementary algebra being helpful but not mandatory. Explore the first part of a comprehensive program covering basic Markov Chain concepts, followed by selected advanced topics and recent research applications. Access additional course materials and updates through IMPA's social media channels, with all content rights reserved by the institute.
