Explore a comprehensive doctoral-level lecture on Differentiable Ergodic Theory in this 1 hour and 31 minute video from the Instituto de Matemática Pura e Aplicada (IMPA). Delve into advanced mathematical concepts as presented by Khadim War in the 15th class of the series. Gain insights into this specialized field of mathematics, which combines elements of ergodic theory and differential dynamics. Enhance your understanding of complex mathematical principles and their applications in this in-depth academic presentation. Note that all rights to the content belong to IMPA, and usage without prior written authorization is prohibited except as permitted by current legislation.