276 citations · 1k across the 68 of their papers we have counts for
85 papers
The "Power of Few" Phenomenon: The Sparse Case
BaoLinh Tran, Van Vu
The "majority dynamics" process on a social network begins with an initial phase, where the individuals are split into two competing parties, Red and Blue. Every day, everyone upda…
Random orthonormal polynomials: local universality and expected number of real roots
Yen Do, Oanh Nguyen, Van Vu
We consider random orthonormal polynomials where , \dots, are independent random variables with zero mean, unit variance…
Recent progress in combinatorial random matrix theory
Van Vu
We discuss recent progress many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.
Random polynomials: central limit theorems for the real roots
Oanh Nguyen, Van Vu
The number of real roots has been a central subject in the theory of random polynomials and random functions since the fundamental papers of Littlewood-Offord and Kac in the 1940s.…
Spectrum of complex networks
Daniel Montealegre, Van Vu
The study of complex networks has been one of the most active fields in science in recent decades. Spectral properties of networks (or graphs that represent them) are of fundamenta…
Sparse Random Matrices have Simple Spectrum
Kyle Luh, Van Vu
Let be a class of symmetric sparse random matrices, with independent entries for . are i.i.d. Bernoulli random variables taking th…