| 1 |
Introduction |
| 2 |
The Hermite Ensemble: Wigner's Semi-Circle Law |
| 3 |
The Laguerre Ensemble: Marcenko-Pastur Theorem |
| 4 |
The Jacobi Ensemble: McKay's Random Graph Theorem |
| 5 |
The "Semi-Circular" Element: Central Limit Theorem for Infinite Random Matrices |
| 6 |
Free Cumulants in Free Probability |
| 7 |
Free Cumulants in Free Probability (cont.) |
| 8 |
Non-Crossing Partitions and Free Cumulants |
| 9 |
Free Cumulants: The Semi-Circular and "Free Poisson" Distributions |