10.05.2006 (Wednesday)

Critical behavior in random matrix models

Regular Seminar Arno Kuijlaars (Leuven)

11:00 Brunel U.
room M128

I will discuss the behavior of eigenvalues of Hermitian random matrices in certain critical regimes, related to possible changes in the number of intervals in the limiting spectrum as the size of the matrices tends to infinity. In the critical regimes local eigenvalue correlation functions are described by Painleve transcendents.