Explore a 44-minute lecture on predicting dynamical systems using time-delayed measurements with self-intersections. Delve into new versions of the Takens time-delay embedding theorem in both deterministic and probabilistic settings. Examine upper bounds on the decay rate of prediction errors, as conjectured by Schroer, Sauer, Ott, and Yorke. Learn about one-dimensional observable measurements along a system's orbit and their implications for dynamical system prediction. Gain insights from Adam Åšpiewak of IM PAN as part of the Simons Semester on Dynamics series.
Prediction of Dynamical Systems from Time-Delayed Measurements with Self-Intersections
Simons Semester on Dynamics via YouTube
Overview
Syllabus
Adam Åšpiewak (IM PAN)
Taught by
Simons Semester on Dynamics