Lecture Notes

 

Jon Keating

Random matrix theory and number theory

 

J. Brian Conrey

FAMILIES OF L-FUNCTIONS AND 1-LEVEL DENSITIES

Literature- part 1

Literature - part 2

Lecture 2

Lecture 3

Lecture 4

 

Thomas Spencer

Duality, Statistical Mechanics, and Random Matrices

SUSY Statistical Mechanics and Random Band Matrices

Lectures 1 & 2

Lecture 3

Lecture 4

 

Peter John Forrester

Random matrices: invariant measures, eigenvalue PDFs, integrals and characteristic polynomials

lectures - part 1

exercises 1

lectures - part 2

exercises 2

lectures - part 3

exercises 3

lectures - part 4

exercises 4

 

Martin Zirnbauer

Nonlinear sigma models for (super-)spin chains