T. Tao

activity

19972023

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

276 citations · 4.5k across the 293 of their papers we have counts for

collaborators

Showing 2005 · math.PRShow all

2 papers · 2 filters

math.PR2005★ 1 cited

Inverse Littlewood-Offord theorems and the condition number of random discrete matrices

Terence Tao, Van Vu

Consider a random sum $η_{1} v_{1} + ... + η_{n} v_{n}$ , where $η_{1}, ..., η_{n}$ are i.i.d. random signs and $v_{1}, ..., v_{n}$ are integers. The Littlewood-Offord problem asks to maximize concentr…

math.PR2005★ 9 cited

Random symmetric matrices are almost surely non-singular

Kevin Costello, Terence Tao, Van Vu

Let $Q_{n}$ denote a random symmetric $n$ by $n$ matrix, whose upper diagonal entries are i.i.d. Bernoulli random variables (which take values 0 and 1 with probability 1/2). We prove…