Fluctuations in the Wigner Ensemble

Series
Math Physics Seminar
Time
Monday, November 11, 2013 - 4:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Anna Maltsev – University of Bristol – anna.maltsev@bristol.ac.ukhttp://www.maths.bris.ac.uk/people/profile/maavm
Organizer
Evans Harrell
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.