Minkowski's Theorems: Lattices and Volumes

Related lectures (32)

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores Gaussian corelation inequality, Anderson's theorem, and log-concavity in probability theory.

Explores linear operations, convergence, sequences, and compact sets in mathematical analysis.

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.

Explores the Fubini theorem on closed rectangles in R², discussing integrability, iterated integrals, and compact sets.

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Explores the properties and characterization of the Riemann integral on different sets and measurable sets.

Explores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.

Introduces the course on measure and integration, focusing on developing a new theory to overcome the limitations of the Riemann integral.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Page 2 of 2