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 2016 · math.PRShow all

2 papers · 2 filters

math.PR2016★ 34 cited

Non-Hermitian random matrices with a variance profile (I): Deterministic equivalents and limiting ESDs

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. We stu…

math.PR2016

Lower bounds for the smallest singular value of structured random matrices

Nicholas A. Cook

We obtain lower tail estimates for the smallest singular value of random matrices with independent but non-identically distributed entries. Specifically, we consider $n \times n$ ma…