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Attend lecture 14 of a graduate-level mathematics 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 advanced concepts based on "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer, building upon elementary probability theory knowledge (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course"). Explore fundamental Markov Chain concepts in the first month, followed by selected advanced topics and recent research applications. Basic linear algebra knowledge is recommended but not mandatory. Access additional course materials and related content through IMPA's official social media channels, with all content rights reserved by the institute requiring prior written authorization for any use beyond standard viewing.
