Publications [#361675] of Nicholas A Cook

Papers Published

1. Cook, NA; Nguyen, HH; Yakir, O; Zeitouni, O, Universality of Poisson limits for moduli of roots of Kac polynomials (May, 2021)
   (last updated on 2026/01/15)

   Abstract:
   We give a new proof of a recent resolution by Michelen and Sahasrabudhe of a conjecture of Shepp and Vanderbei that the moduli of roots of Gaussian Kac polynomials of degree $n$, centered at $1$ and rescaled by $n^2$, should form a Poisson point process. We use this new approach to verify a conjecture of Michelen and Sahasrabudhe that the Poisson statistics are in fact universal.