17 citations · 23 across the 2 of their papers we have counts for
3 papers
math.PR2018
Random matrix products: Universality and least singular values
Phil Kopel, Sean O'Rourke, Van Vu
We establish, under a moment matching hypothesis, the local universality of the correlation functions associated with products of independent iid random matrices, as is fix…
math.PR2015★ 6 cited
Regularity Conditions for Convergence of Linear Statistics of GUE
Phil Kopel
We establish a central limit theorem for the unnormalized linear statistic of the Gaussian Unitary Ensemble under optimal conditions: the linear statistics converges if and only if…
math.PR2015★ 17 cited
Linear Statistics of Non-Hermitian Matrices Matching the Real or Complex Ginibre Ensemble to Four Moments
Phil Kopel
We prove that, for general test functions, the limiting behavior of the linear statistic of an independent entry random matrix is determined only by the first four moments of the e…