Infinite Random Matrix Theory

Calendar

Lec #	TOPICS
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.)