Lectures related to Optimal Transport: In-Depth Evaluation

Explores optimal transport in heat equations and metric spaces.

Explores variational formulation for measuring information content and divergence between probability distributions.

Explains how entropy measures uncertainty in a system based on possible outcomes.

Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Covers the application of separation of variables method to solve the heat equation.

Covers entropy, its definition, and its implications in thermodynamics.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

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

Covers the Fourier law, heat equation, Righi-Leduc effect, and related experiments.