Lectures related to Σ-finite measure

Introduction to Quantum Chaos

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

Simon's Problem

Discusses Simon's Problem and deterministic computation through various equations and implications.

Pareto Efficiency: Social Planner's Problem

Explains Pareto efficiency, social planner's problem, and optimal consumption allocation in complete markets.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Measure Spaces: O-Finite and Probability Measures

Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.

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Optimal Transport: Heat Equation and Metric Spaces

Explores optimal transport in heat equations and metric spaces.

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Linear Regression: Statistical Inference Perspective

Explores linear regression from a statistical inference perspective, covering probabilistic models, ground truth, labels, and maximum likelihood estimators.

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