T. Tao

activity

19982008

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 600 across the 52 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2007★ 13 cited

Random Matrices: The circular Law

Terence Tao, Van Vu

Let $\a$ be a complex random variable with mean zero and bounded variance $σ^{2}$ . Let $N_{n}$ be a random matrix of order $n$ with entries being i.i.d. copies of $\a$. Let $λ_{1},…

math.PR2007

The condition number of a randomly perturbed matrix

Terence Tao, Van Vu

Let $M$ be an arbitrary $n$ by $n$ matrix. We study the condition number a random perturbation $M + N_{n}$ of $M$ , where $N_{n}$ is a random matrix. It is shown that, under very general…

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…