Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
Watch lecture 12 of a graduate-level mathematics course on Markov Chains delivered in Portuguese at the Instituto de Matemática Pura e Aplicada (IMPA) Summer School 2025. Learn from Professor Milton Jara as he explores advanced concepts based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Gain insights into both 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. Access additional course materials and lectures through the provided playlist link, with content protected under IMPA's intellectual property rights.
