Arithmetic Statistics Seminar: Singularity probability of adjacency matrices of random regular digraphs


View Calendar
February 26, 2024 3:00 pm - 4:00 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Hoi Nguyen - Ohio State

We will discuss an algebraic method by J. Huang to bound the singularity probability of the adjacency matrix of random d-regular digraphs. Although we can slightly improve the bounds, the current estimates are still far from best possible, especially toward the problem of bounding the least singular values.