70 citations · 226 across the 39 of their papers we have counts for
5 papers · 1 filter
Central Limit Theorem for the number of real roots of random orthogonal polynomials
Yen Do, Hoi H. Nguyen, Oanh Nguyen +1
In this note we study the number of real roots of a wide class of random orthogonal polynomials with gaussian coefficients. Using the method of Wiener Chaos we show that the fluctu…
A note on inverse results of random walks in Abelian groups
Jake Koenig, Hoi H. Nguyen, Amanda Pan
In this short note we give various near optimal characterizations of random walks over finite Abelian groups with large maximum discrepancy from the uniform measure. We also provid…
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…
Rank of Near Uniform Matrices
Jake Koenig, Hoi Nguyen
A central question in random matrix theory is universality. When an emergent phenomena is observed from a large collection of chosen random variables it is natural to ask if this b…
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…