Lp Cone and Approximate Embeddings

Related lectures (32)

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Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

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

Explores embedding in metric spaces, discussing mappings, distances, and convergence.

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

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

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

Covers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.

Covers the foundations of modern analysis, introductory functional analysis, and applications in MAB111.

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