Metric space

Related lectures (32)

Page 3 of 4

Covers the concept of distance induced by the Riemannian metric on manifolds.

Covers stability in optimal transport and provides examples of discontinuous optimal solutions.

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

Covers line metrics, convex cones, and linear metric combinations.

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

Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.

Covers the analysis of ARV, focusing on minimizing distances between points in cutis vis.

Covers Borel-Cantelli lemmas, laws of random variables, and convergence in probability.

Explores distance, geodesics, and complete manifolds, emphasizing the existence of minimizing geodesics and the concept of metric completeness.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.