Lectures related to Measurable cardinal

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Infinite Coin Tosses: Independence

Explores independence in infinite coin tosses, covering sets, shifts, and T-invariance.

Basic Properties of Conditional Expectation

Covers basic properties of conditional expectation and Jensen's inequality in probability theory.

Independence and Products

Covers independence between random variables and product measures in probability theory.

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Probability Theory: Lecture 2

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