42 citations · 103 across the 13 of their papers we have counts for
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math.PR2021
Universality of Poisson limits for moduli of roots of Kac polynomials
Nicholas A. Cook, Hoi H. Nguyen, Oren Yakir +1
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 , c…
math.PR2021★ 1 cited
Regularity method and large deviation principles for the Erdős--Rényi hypergraph
Nicholas A. Cook, Amir Dembo, Huy Tuan Pham
We develop a quantitative large deviations theory for random hypergraphs, which rests on tensor decomposition and counting lemmas under a novel family of cut-type norms. As our mai…
math.PR2021★ 2 cited
Universality of the minimum modulus for random trigonometric polynomials
Nicholas A. Cook, Hoi H. Nguyen
It has been shown in a recent work by Yakir-Zeitouni that the minimum modulus of random trigonometric polynomials with Gaussian coefficients has a limiting exponential distribution…