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Join a graduate-level lecture on Markov Chains presented by Professor Milton Jara at the Instituto de Matemática Pura e Aplicada (IMPA) as part of their 2025 Summer School program. Explore advanced concepts based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Gain insights into fundamental Markov Chain theory and its applications in recent research areas. Prerequisites include familiarity with basic probability concepts (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and helpful but not mandatory knowledge of linear algebra and elementary algebra. The course spans two parts: a month-long introduction to basic Markov Chain concepts followed by selected advanced topics and contemporary research applications. Access this sixth lecture in the series, running approximately two hours, as part of IMPA's comprehensive graduate mathematics curriculum.
