Lectures
Lecture 1: Introduction
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 2: Sampling vs. Counting
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 3: Counting via Determinant; Intro to Markov Chains
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 4: Markov Chain Mixing
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 5: Mixing via Transport
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 6: Dobrushin Influence Matrix
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 7: Spectral Analysis
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 8: Continuous Time
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 9: Comparison Arguments
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 10: Bipartite Perfect Matchings
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 11: High-Dimensional Expanders
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 12: Spectral Independence
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 13: Log-Concave Polynomials
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 14: Zeros of Polynomials
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 15: Stability
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 16: Correlation Decay
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 17: Universality
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 18: Stochastic Localization
- Slides: [PDF]
- Video: [Panopto on Canvas]
Lecture 19: Continuous Sampling
- Slides: [PDF]
- Video: [Panopto on Canvas]