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 2012Show all

4 papers · 1 filter

math.CO2012

Small ball probability, Inverse theorems, and applications

Hoi H. Nguyen, Van H. Vu

Let $ξ$ be a real random variable with mean zero and variance one and $A = a_{1}, ..., a_{n}$ be a multi-set in $R^{d}$ . The random sum $S_{A} := a_{1} ξ_{1} + ... + a_{n} ξ_{n}$ where $ξ_{i}$ are…

math.PR2012

The Elliptic Law

Hoi Nguyen, Sean O'Rourke

We show that, under some general assumptions on the entries of a random complex $n \times n$ matrix $X_{n}$ , the empirical spectral distribution of $\frac{1}{n} X_{n}$ converges…

math.CO2012★ 32 cited

Random doubly stochastic matrices: The circular law

Hoi H. Nguyen

Let $X$ be a matrix sampled uniformly from the set of doubly stochastic matrices of size $n \times n$ . We show that the empirical spectral distribution of the normalized matrix $\sq…

math.CO2012

Circular law for random discrete matrices of given row sum

Hoi H. Nguyen, Van Vu

Let $M_{n}$ be a random matrix of size $n \times n$ and let $λ_{1}, ..., λ_{n}$ be the eigenvalues of $M_{n}$ . The empirical spectral distribution $μ_{M_{n}}$ of $M_{n}$ is defined as $$μ_{M_n}(s…