H. Nguyen

activity

20082023

most citedRandom matrices: Law of the determinant

70 citations · 226 across the 39 of their papers we have counts for

collaborators

Showing 2011Show all

7 papers · 1 filter

math.CO2011

A new approach to an old problem of Erdos and Moser

Hoi H. Nguyen

Let $η_{i}, i = 1, ..., n$ be iid Bernoulli random variables, taking values $\pm 1$ with probability 1/2. Given a multiset $V$ of $n$ elements $v_{1}, ..., v_{n}$ of an additive group $G$ ,…

math.CO2011

A characterization of incomplete sequences in $F_{p}^{d}$

Hoi H. Nguyen, Van Vu

A sequence $A$ of elements an additive group $G$ is {\it incomplete} if there exists a group element that {\it can not} be expressed as a sum of elements from $A$ . The study of inc…

math.CO2011

On the singularity of random combinatorial matrices

Hoi H. Nguyen

It is shown that a random $(0, 1)$ matrix whose rows are independent random vectors of exactly $n /2$ zero components is non-singular with probability $1 - O (n^{- C})$ for any $C > 0$ . Th…

math.PR2011★ 70 cited

Random matrices: Law of the determinant

Hoi H. Nguyen, Van Vu

Let $A_{n}$ be an $n$ by $n$ random matrix whose entries are independent real random variables with mean zero, variance one and with subexponential tail. We show that the logarithm o…

math.CO2011

A continuous variant of the inverse Littlewood-Offord problem for quadratic forms

Hoi H. Nguyen

Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high…

math.CO2011

On the least singular value of random symmetric matrices

Hoi H. Nguyen

Let $F_{n}$ be an $n$ by $n$ symmetric matrix whose entries are bounded by $n^{γ}$ for some $γ > 0$ . Consider a randomly perturbed matrix $M_{n} = F_{n} + X_{n}$ , where $X_{n}$ is a random symmetric…

A new approach to an old problem of Erdos and Moser

A characterization of incomplete sequences in Fpd​

On the singularity of random combinatorial matrices

Random matrices: Law of the determinant

A continuous variant of the inverse Littlewood-Offord problem for quadratic forms

On the least singular value of random symmetric matrices

A characterization of incomplete sequences in $F_{p}^{d}$