Eigenvalue repulsion in Wigner matrices

Hoi Nguyen
Ohio State University
Friday, March 3, 2017 -
2:30pm to 4:00pm
Vincent Hall 213

I will address recent characterization results on random walks which stay in a small region unusually long. As an application, we show a repulsion estimate for the number of eigenvalues inside an extremely small interval for Wigner matrices. If time permits, I would also discuss about certain delocalization properties of the eigenvectors.