What I do
- Work with measures and sigma-algebras
- Understand Lebesgue integration
- Apply measure-theoretic probability
- Analyze convergence theorems
When to use me
When working on advanced probability or real analysis.
Key Concepts
- Measures and sigma-algebras
- Lebesgue measure
- Lebesgue integration
- Radon-Nikodym theorem
- Convergence theorems
- Product measures
- Conditional expectation