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Infinite Random Matrix Theory >> Content Detail



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Lec #TOPICS
1Introduction
2The Hermite Ensemble: Wigner's Semi-Circle Law
3The Laguerre Ensemble: Marcenko-Pastur Theorem
4The Jacobi Ensemble: McKay's Random Graph Theorem
5The "Semi-Circular" Element: Central Limit Theorem for Infinite Random Matrices
6Free Cumulants in Free Probability
7Free Cumulants in Free Probability (cont.)
8Non-Crossing Partitions and Free Cumulants
9Free Cumulants: The Semi-Circular and "Free Poisson" Distributions
10Additive Free Convolution
11The R-Transform and the Marcenko-Pastur Theorem
12Multiplicative Free Convolution
13The S-Transform
14Dr. Anna Scaglione Talk
15Orthogonal Polynomials and the Classical Matrix Ensembles
16Project Progress Presentation
17Project Progress Presentation (cont.)
18Tracy Widom Distribution
19Eigenvalue Spectrum Fluctuations
20Dr. Roland Speicher Talk
21Free Probability and Fluctuations
22Zonal Polynomials and Random Matrices
23Symmetric Group Representations and Free Probability
24MOPs
25Connections and Open Problems
26Project Presentations
27Project Presentations (cont.)

 








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