Optimal Transport: Heat Equation and Metric Spaces

Related lectures (30)

Page 3 of 3

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

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

Covers conditional expectation, convergence of random variables, and the strong law of large numbers.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Covers entanglement, Bell inequalities, CSHS requirements, EPR paradox, and experimental verification in quantum mechanics.

Covers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.

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

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Presents the proof of the Central Limit Theorem using Lindeberg's principle.