18.996 | Spring 2004 | Graduate

Random Matrix Theory and Its Applications

Calendar

SES # TOPICS
1 Introduction
2 Matrix Jacobians (the 2x2 case)
3 Matrix Jacobians (the 2x2 case) (cont.)
4 Matrix Jacobians (the 3x3 case)
5 Matrix Jacobians and Spherical Coordinates
6 Matrix Jacobians with Wedge Products
7 Mechanics of Wedging
8 Plucker Coordinates
9 Jacobians of Matrix Factorizations
10 Jacobians of Matrix Factorizations (cont.)
11 Householder Transformations and the Stiefel Manifold
12 The Cauchy-Binet Theorem
13 Matrix Jacobians Interpreted Using the Cauchy-Binet Theorem
14 Telatar’s Paper and the Cauchy-Binet Theorem
15 Level Densities and the Cauchy-Binet Theorem
16 Orthogonal Polynomials
17 Matrix Integrals and Orthogonal Polynomials
18 Hypergeometric Functions of Matrix Arguments
19 Hypergeometric Functions of Matrix Arguments (cont.)
20 Computing Multivariate Orthogonal Polynomials Symbolically
21 Random Matrix Theory and Wireless Communications - I
22 Random Matrix Theory and Wireless Communications - II
23 Random Matrix Theory and Wireless Communications - III
24 Projects
25 Projects (cont.)
26 Projects (cont.)
27 Projects (cont.)
28 Advances and Open Research Areas in Random Matrix Theory

Course Info

As Taught In
Spring 2004
Level
Learning Resource Types
Lecture Notes
Projects with Examples