4/14/2010

Balint Virag
University of Toronto

Random Schrodinger Operators and Random Matrices

It has been conjectured that the eigenvalues of the adjacency matrix of a large box in Z^d, d>=3, perturbed by the right amount of randomness, behave like the eigenvalues of a random matrix. I will discuss this and related conjectures, explain what happens in one dimension, and present a very special provable case of long boxes. Based on joint work with E. Kritchevski and B. Valko.