Lectures related to W | EPFL Graph Search

Properties of Complete Spaces

Covers the properties of complete spaces, including completeness, expectations, embeddings, subsets, norms, Holder's inequality, and uniform integrability.

Kolmogorov's Three Series Theorem

Explores Kolmogorov's 0-1 law, convergence of random variables, tightness, and characteristic functions.

Probability Theory: Laws and Convergence

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

Probability Convergence

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

Symmetries in Quantum Field Theory

Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.