Lectures related to Probabilistic Takens delay embedding theorem

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the concept of outer measure and properties of measurable sets.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.