V. Vu

activity

20002023

most citedRandom matrices: Universality of local eigenvalue statistics up to the edge

276 citations · 1k across the 68 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.PR2017

Roots of random functions: A framework for local universality

Oanh Nguyen, Van Vu

We investigate the local distribution of roots of random functions of the form $F_{n} (z) = \sum_{i = 1}^{n} ξ_{i} ϕ_{i} (z)$ , where $ξ_{i}$ are independent random variables and $ϕ_{i} (z)$ are a…

math.PR2017

Random matrices: Probability of Normality

Andrei Deneanu, Van Vu

In this paper, we investigate the following question: How often is a random matrix normal? We consider a random $n \times n$ matrix, $M_{n}$ , whose entries are i.i.d. Rademacher rando…

math.PR2017★ 3 cited

Central limit theorems for the real zeros of Weyl polynomials

Yen Do, Van Vu

We establish the central limit theorem for the number of real roots of the Weyl polynomial $P_{n} (x) = x i_{0} + x i_{1} x + ... + x i_{n} (n!)^{(- 1/2)} x^{n}$ , where $x i_{i}$ are iid Gaussian rando…

math.PR2017★ 1 cited

Random eigenfunctions on flat tori: universality for the number of intersections

Mei-Chu Chang, Hoi Nguyen, Oanh Nguyen +1

We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues with a given smooth curve in flat tori are universal under vario…