### Papers on random matrix theory and numerical linear algebra

Smoothed analysis for the conjugate gradient algorithm. With Tom Trogdon, * SIGMA * (under review, 2016).

On the condition number of the critically-scaled Laguerre Unitary Ensemble. With Percy Deift and Tom Trogdon, * DCDS-A * (special volume for Peter Lax's 90th birthday), Vol. 36, (2016) .

The Airy function is a Fredholm determinant * Journal of dynamics and differential equations, * Vol. 28, (2016).

Universality in numerical computations with random data With Percy Deift, Sheehan Olver and Tom Trogdon. * PNAS * (Sept. 2014).

Numerical solution of Dyson Brownian motion and a sampling scheme for invariant matrix ensembles. with Helen Li .
* J. Stat. Phys. * Vol 153. (2013).

How long does it take to compute the eigenvalues of a random symmetric matrix? With Christian Pfrang and Percy Deift. In *Random matrix theory, interacting particle systems, and integrable systems*, MSRI Publications, Vol. 65. (2014).

This article is (mostly) an abbreviated presentation of extensive numerical experiments in Christian's thesis. Send me email if you'd also like a copy of his dissertation.

### Lecture notes

Notes from an introductory graduate class. April 2015.

Translation of Biane's paper on the Riemann zeta function and probability theory . This is a beautiful paper on a mysterious aspect of random matrix theory.