|
Date |
Topic |
Handouts |
|---|---|---|
|
Wednesday, September 07 |
Introduction |
|
|
Monday, September 12 |
The Hermite Ensemble: Wigner's Semi-Circle Law |
|
|
Wednesday, September 14 |
The Laguerre Ensemble: Marcenko-Pastur Theorem |
Silverstein's Derivation: Paper 1, Paper 2 Jonsson's Paper (Reader) |
|
|
No Class |
Holiday |
|
Wednesday, September 21 |
The “Semi-Circular” Element: Central Limit Theorem for Infinite Random Matrices |
|
|
Monday, September 26 |
Free Cumulants in Free Probability |
|
|
Wednesday, September 28 |
Free Cumulants in Free Probability |
|
|
Monday, October 03 |
Non-Crossing Partitions and Free Cumulants |
|
|
Wednesday, October 05 |
Free Cumulants: The Semi-Circular and “Free Poisson” distributions |
|
|
|
No Class |
Columbus Day Holiday |
|
Wednesday, October 12 |
The R-Transform and the Marcenko-Pastur Theorem |
|
|
Friday, October 14 |
Workshop |
|
|
Saturday, October 14 |
Workshop |
|
|
Monday, October 17 |
Multiplicative Free Convolution |
|
|
Wednesday, October 19 |
The S-Transform |
|
|
Monday, October 24 |
Convergence |
Handout |
|
Wednesday, October 26 |
Orthogonal Polynomials and the Classical Matrix Ensembles |
|
|
Monday, October 31 |
Project Progress Presentation |
TBA |
|
Wednesday, November 02 |
Project Progress Presentation |
TBA |
|
Monday, November 07 |
Tracy Widom Distribution |
|
|
Wednesday, November 09 |
Eigenvalue Spectrum Fluctuations |
Johansson's Paper (Reader), Ioana's Paper |
|
|
Veterans Day |
Holiday |
|
Wednesday, November 16 |
|
|
|
Monday, November 21 |
Free Probability and Fluctuations |
|
|
Wednesday, November 23 |
Zonal Polynomials and Random Matrices |
Stanley's Paper (Reader) |
|
Monday, November 28 |
Symmetric Group Representations and Free Probability |
Phillipe Biane: Paper 1, Paper 2 |
|
|
Thanksgiving |
Holiday |
|
Monday, December 05 |
MOPs |
Ioana's Paper (Reader) |
|
Wednesday, December 07 |
Connections and Open Problems |
|
|
Monday, December 12 |
Project Presentations |
TBA |
|
Wednesday, December 14 |
Project Presentations |
TBA |
|
|
|
|