39 citations · 162 across the 18 of their papers we have counts for
4 papers · 1 filter
Global spectral fluctuations in the Gaussian Unitary Ensemble
Christian Webb
We consider global fluctuations of the spectrum of the GUE. Using results on the linear statistics of such matrices as well as variance bounds on the eigenvalues, we show that unde…
A discrete log gas, discrete Toeplitz determinants with Fisher-Hartwig singularities, and Gaussian Multiplicative Chaos
Christian Webb
We consider a log-gas on a discretization of the unit circle. We prove that if the gas is not too dense, or the number of particles in the gas is not too large compared to the scal…
On the logarithm of the characteristic polynomial of the Ginibre ensemble
Christian Webb
We prove a slightly sharper version of a result of Rider and Virág who proved that after centering, the logarithm of the absolute value of the characteristic polynomial of the Gini…
Linear statistics of the circular -ensemble, Stein's method, and circular Dyson Brownian motion
Christian Webb
We study the linear statistics of the circular -ensemble with a Stein's method argument, where the exchangeable pair is generated through circular Dyson Brownian motion. This ge…