Explore a comprehensive lecture on Differentiable Ergodic Theory in this doctoral-level presentation by Khadim War. Delve into advanced mathematical concepts including ergodic equivalence, partitions, spectral equivalence, spectrum analysis, eigenvectors, and mixing. Gain insights into the intricate world of mathematical analysis and its applications in ergodic theory. Enhance your understanding of these complex topics through a detailed exploration led by an expert in the field at the Instituto de Matemática Pura e Aplicada.