Publications [#365445] 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, International Mathematics Research Notices, vol. 2023 no. 8 (April, 2023), pp. 6648-6690, Oxford University Press (OUP) [doi]
   (last updated on 2024/04/24)

   Abstract:
   We give a new proof of a recent resolution [18] by Michelen and Sahasrabudhe of a conjecture of Shepp and Vanderbei [19] 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 from [18] that the Poisson statistics are in fact universal.