Spectral laws of sparse iid matrices

Let A be an n by n matrix with iid entries which are distributed as Bernoulli random variables with parameter p = d/n, d constant. In this talk I will discuss the recent proof that the spectral law of such matrices converges, in distribution, to a deterministic measure, as n tends to infinity. This is based on joint work with Ashwin Sah and Mehtaab Sawhney.

• Speaker: Julian Sahasrabudhe (University of Cambridge)
• Tuesday 25 November 2025, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: ww295.