Nicholas A. Cook

activity

20142025

most citedSize biased couplings and the spectral gap for random regular graphs

42 citations · 103 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.PR2020

Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices

Nicholas A. Cook, Alice Guionnet, Jonathan Husson

For a fixed quadratic polynomial $p$ in $n$ non-commuting variables, and $n$ independent $N \times N$ complex Ginibre matrices $X_{1}^{N}, \dots, X_{n}^{N}$ , we establish the conv…

math.PR2020★ 5 cited

Non-Hermitian random matrices with a variance profile (II): properties and examples

Nicholas A. Cook, Walid Hachem, Jamal Najim +1

For each $n$ , let $A_{n} = (σ_{ij})$ be an $n \times n$ deterministic matrix and let $X_{n} = (X_{ij})$ be an $n \times n$ random matrix with i.i.d. centered entries of unit variance. In the…