Optimal Transport: Stability and Monotonicity

Related lectures (32)

Page 3 of 4

Covers extreme values of continuous functions on compact sets and differentiability.

Explores the transition from atoms to solid metal structures, covering crystal lattices, compactness, cubic systems, and allotropic forms of iron.

Discusses open subsets, compact sets, and methods for demonstrating openness in a space.

Explores continuous functions on compact sets, discussing boundedness and extremum values.

Covers a review of double integrals, emphasizing compact domains and linearity.

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.

Covers the Cantor-Heine theorem, discussing uniform continuity and compactness.

Covers the concept of distributions with compact support and their interpolation spaces.

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

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