Web page of Aymeric Baradat

Teaching

Optimal transport (2024)

Cours 1: Introduction, Brenier theorem.
Cours 2: Wasserstein distance, Benamou-Brenier formula.
Cours 3: Existence and uniqueness for the Fokker-Planck equation.

Optimal transport (2023)

Lecture 1: Introduction, Brenier theorem.
Lecture 2: Wasserstein distance, Benamou-Brenier formula.
Lecture 3: Two applications of optimal transport.
Lecture 4: The Schrödinger problem.

Calculus for economists (2016-2019, in french)

Between Septembre 2016 and June 2019, I was giving the cours of Analysis for economists for L3 students of the department of Economics at the ENS. The goal was to develop the method of Lagrange multipliers in constrained optimization. Here is the text of the course, here are the slides of the introductory class, and here are the exercices:

TD 1: Dérivées partielles et premièrs calculs d'optimisation.
TD 2: Analyse réelle.
TD 3: Structure Euclidienne de R^d, Géométrie.
TD 4: Topologie en dimension d.
TD 5: Algèbre linéaire.
TD 6: Différentielle des fonctions de plusieurs variables.
TD 7: Théorème des fonctions implicites.
TD 8: Optimisation sous contraintes.

Don't hesitate to ask for the corrections by sending an e-mail (they are already written).