| 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 |
| 10 |
Additive Free Convolution |
| 11 |
The R-Transform and the Marcenko-Pastur Theorem |
| 12 |
Multiplicative Free Convolution |
| 13 |
The S-Transform |
| 14 |
Dr. Anna Scaglione Talk |
| 15 |
Orthogonal Polynomials and the Classical Matrix Ensembles |
| 16 |
Project Progress Presentation |
| 17 |
Project Progress Presentation (cont.) |
| 18 |
Tracy Widom Distribution |
| 19 |
Eigenvalue Spectrum Fluctuations |
| 20 |
Dr. Roland Speicher Talk |
| 21 |
Free Probability and Fluctuations |
| 22 |
Zonal Polynomials and Random Matrices |
| 23 |
Symmetric Group Representations and Free Probability |
| 24 |
MOPs |
| 25 |
Connections and Open Problems |
| 26 |
Project Presentations |
| 27 |
Project Presentations (cont.) |
