| Week | Topic | Pages | Exercises/Solutions |
|---|---|---|---|
| 1 | Introduction | 1-10 (10) | N/A |
| 2 | Tensorization and bounded differences, Markov semigroups | 13-19, 21-25 (12) | 2.1-2.5, 2.6 |
| 3 | Poincaré inequalities | 26-32 (7) | 2.7-2.8 |
| 4 | Variance identities and exponential ergodicity | 36-40 (5) | 2.9-2.10 |
| 5 | Local Poincaré inequalities | 41-44 (4) | 2.11-2.13 |
| 6 | Subgaussian variables and Chernoff bounds | 45-48 (4) | 3.1-3.5 |
| 7 | The martingale method | 50-53 (4) | 3.6-3.11 |
| 8 | The entropy method | 55-60 (6) | 3.12-3.16 |
| 9 | Modified log-Sobolev inequalities | 63-68 (6) | - |
| 10 | Modified log-Sobolev inequalities | - | 3.17-3.20 |
| 11 | Concentration in metric spaces | 73-78 (6) | 4.1-4.2 |
| 12 | Transportation inequalities and tensorization | 80-87 (8) | 4.3-4.5 |
| 13 | Talagrand’s concentration inequality | 90-97 (8) | 4.6-4.9 |