Fluctuations in the Wigner Ensemble

Math Physics Seminar
Monday, November 11, 2013 - 4:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Bristol
I will discuss the fluctuations of the spectral density for the Wigner ensemble on the optimal scale. We study the fluctuations of the Stieltjes transform, and improve the known bounds on the optimal scale. As an application, we derive the semicircle law at the edge of the spectrum. This is joint work with Claudio Cacciapuoti and Benjamin Schlein.