TU Lecture, WS 2007/08
Random matrices and related problems
Content: In this lecture we will explore some aspects of random matrix theory. We will then see how the underlying mathematical structure can be applied to various models in mathematics and physics. These models span from directed percolation, random domino tiling, equilibrium and non-equilibrium statistical mechanics.
Program: October 15: It will be an introduction to the lecture and a rough plan of the content will be also presented.
October 22 - December 17: We introduce the relevant mathematical objects / methods using as a basis model one ensemble of random matrices.
January 7 - February 11: The rest of the semester will be devoted to a few applications. We will apply the mathematical structure we learned to a few models (non random matrix models).
Schedule:WS 2007/08, Monday 10-12, MA 645
Scanned lectures notes: (first versions, are not missprints free: take them with a grain of salt)