Slow-Fast Systems: Averaging and Conditional Expectations

This lecture by the instructor Lara Neureither on 26th March 2019 discusses slow-fast systems, focusing on the concepts of averaging and conditional expectations. The lecture covers topics such as timescale parameters, ergodicity assumptions, and the convergence of conditional measures. It explores the encoding of timescale separation, the relaxation of marginal and conditional distributions, and examples illustrating non-reversible cases. The discussion also touches on the interpretation of ergodicity assumptions for averaging and the importance of PI/LSI assumptions in understanding the convergence of conditional invariant measures.