Spectral statistics of random band matrices and quantum unique ergodicity

Wednesday, April 13, 2016 -
3:00pm to 4:00pm
We prove the universality for the eigenvalue statistics in the bulk of the spectrum for band matrices, in the regime where the band width is comparable to the linear size of the matrix. By relying on a mean-field reduction technique, we deduce universality from quantum unique ergodicity for band matrices.
Speaker: 
Horng-Tzer Yau
Harvard University
Event Location: 
Fine Hall 214