Nhan D. V. Nguyen

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20212026

most citedThe number of real zeros of elliptic polynomials

2 citations · 2 across the 7 of their papers we have counts for

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math.PR2026

Real roots of non-centered random polynomials

Yen Q. Do, Nhan D. V. Nguyen, Sean O'Rourke

We study the fluctuations of the number of real roots of random polynomials with independent, nonzero-mean coefficients. Such non-centered ensembles arise naturally in signal-plus-…

math.PR2023

Real roots of random polynomials: asymptotics of the variance

Yen Q. Do, Nhan D. V. Nguyen

We compute the precise leading asymptotics of the variance of the number of real roots for a large class of random polynomials, where the random coefficients have polynomial growth…

math.PR2021★ 2 cited

The number of real zeros of elliptic polynomials

Nhan D. V. Nguyen

Let $N_{n} (a, b)$ denote the number of real zeros of Gaussian elliptic polynomials of degree $n$ on the interval $(a, b)$ , where $a$ and $b$ may vary with $n$ . We obtain a precise fo…