Picture of Egor Pifagorov
Balint Virag, "Random matrices and random Schroedinger operators"
by Egor Pifagorov - Sunday, 3 April 2011, 03:04 PM
Коллоквиум лаборатории Чебышева

Четверг 7 апреля,

17.15, 14 линия, дом 29, аудитория 14

Balint Virag (Toronto & Budapest)
Random matrices and random Schroedinger operators

In the 1950s, Wigner initiated a program to understand physical phenomena through the eigenvalues of random matrices. Dyson called this the "new statistical mechanics". While it has been a remarkably successful approach in physics, almost nothing has been proven mathematically.

I will show how to construct a "continuum limit" of the Gaussian random matrix ensembles. A similar approach can be applied to a different physical model, random Schroedinger operators. In certain cases, we can verify the physics predictions: the eigenvalue distributions agree.