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Watch the first lecture in a graduate-level course on Markov Chains delivered in Portuguese at the Institute of Pure and Applied Mathematics (IMPA) during their 2025 Summer School. Learn fundamental concepts of Markov Chains based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Requires basic understanding of probability theory (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and beneficial but not mandatory knowledge of linear algebra. Explore the first part of a comprehensive program that spans approximately one month covering basic Markov Chain concepts, followed by a second section examining selected topics and recent research applications. Access additional IMPA content through their social media channels, with all materials protected under IMPA's intellectual property rights requiring prior written authorization for use beyond standard educational purposes.
