Colloque des sciences mathématiques du Québec

5 mars 2010 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Random Schrodinger Operators and Random Matrices

Colloque par Balint Virag

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.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420