Watch lecture 13 of a graduate-level mathematics 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. Explore advanced concepts of Markov Chain theory based on Levin, Peres, and Wilmer's "Markov Chains and Mixing Times" textbook. Prerequisites include familiarity with elementary probability concepts (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and basic knowledge of linear algebra. Learn fundamental Markov Chain concepts in the first month, followed by selected advanced topics and recent research applications in the field. Access additional course materials and IMPA resources through the provided playlist and social media links.