70 citations · 226 across the 39 of their papers we have counts for
46 papers
Hole radii for the Kac polynomials and derivatives
Hoi H. Nguyen, Oanh Nguyen
The Kac polynomial with independent coefficients of variance 1 is one of the most studied models of random polynomials. It is well-known that th…
A note on the singularity probability of random directed -regular graphs
Hoi H. Nguyen, Amanda Pan
In this note we show that the singular probability of the adjacency matrix of a random -regular graph on vertices, where is fixed and , is bounded by $n^{-…
Real roots of random orthogonal polynomials with exponential weights
Yen Do, Doron Lubinsky, Hoi H. Nguyen +2
We consider random orthonormal polynomials where , . . . , are independent random variables with zero mean, unit variance…
Local and global universality of random matrix cokernels
Hoi H. Nguyen, Melanie Matchett Wood
In this paper we study the cokernels of various random integral matrix models, including random symmetric, random skew-symmetric, and random Laplacian matrices. We provide a system…
Universality for cokernels of random matrix products
Hoi H. Nguyen, Roger Van Peski
For random integer matrices with independent entries, we study the distribution of the cokernel $\operatorname{cok}(M_1 \cdots…
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…