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Attend lecture 15 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 concepts (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. Discover how the course is structured in two parts - the first month covering basic Markov Chain concepts from the initial chapters, followed by selected advanced topics and recent research applications. Access additional course materials and updates through IMPA's social media channels, with all content protected under IMPA's intellectual property rights requiring prior written authorization for use outside of current legislation provisions.
