Events for 03/11/2021 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 11:00AM - 12:00PM

Location: Zoom

Speaker: Raphael Ducatez, UNIGE

Title: Spectrum of critical Erdos Renyi graph

Abstract: We analyze the spectrum of the (scaled) adjacency matrix A of the Erdős- Rényi graph G(N, d/N ) in the critical regime d = b log N. We establish a one-to-one correspondence between vertices of degree at least 2d and nontrivial eigenvalues outside the asymptotic bulk [−2, 2]. This correspondence implies a transition at an explicit b*. For d>b* log N the spectrum is just the bulk [−2, 2] and the eigenvectors are completely delocalized. For d< b* log N another phase appears. The spectrum outside [−2, 2] is not empty and there the eigenvectors concentrate around the large degree vertices.(joint work with Antti Knowles and Johannes Alt)

Spectral Theory Reading Seminar

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Alberto Takase

Title: