Center for                           Computational Finance CCF Home Conferences Seminars Working Groups Nash Lectures Heath Lectures People Open Positions Contact CCF Seminar Soumik Pal University of Washington Title: Eigenvalues of sparse random regular graphs PLEASE NOTE SEMINAR IS ON WEDNESDAY IN WEAN 8220 Abstract: Adjacency matrices of sparse random regular graphs are long conjectured to lie within the universality class of random matrices. However, there are few rigorously known results. We focus on fluctuations of linear eigenvalue statistics of a stochastic process of such adjacency matrices growing in dimension. The idea is to compare with eigenvalues of minors of Wigner matrices whose fluctuation converges to the Gaussian Free Field. We show that linear eigenvalue statistics can be described by a family of Yule processes with immigration. Certain key features of the Free Field emerge as the degree tends to infinity. Based on joint work with Tobias Johnson.Date: Wednesday, October 24, 2012Time: 3:30 pmLocation: Wean 8220Submitted by:  Shreve