49 citations · 210 across the 18 of their papers we have counts for
18 papers
Planar Novikov-Shubin invariant for adjacency matrices of structured directed dense random graphs
Torben Krüger, David Renfrew
The Novikov-Shubin invariant associated to a graph provides information about the accumulation of eigenvalues of the corresponding adjacency matrix close to the origin. For a direc…
Universality for roots of derivatives of entire functions via finite free probability
Andrew Campbell, Sean O'Rourke, David Renfrew
A universality conjecture of Farmer and Rhoades [Trans. Amer. Math. Soc., 357(9):3789--3811, 2005] and Farmer [Adv. Math., 411:Paper No. 108781, 14, 2022] asserts that, under some…
The fractional free convolution of -diagonal elements and random polynomials under repeated differentiation
Andrew Campbell, Sean O'Rourke, David Renfrew
We extend the free convolution of Brown measures of -diagonal elements introduced by Kösters and Tikhomirov [Probab. Math. Statist. 38 (2018), no. 2, 359--384] to fractional pow…
Singularity degree of structured random matrices
Torben Krüger, David Renfrew
We consider the density of states of structured Hermitian random matrices with a variance profile. As the dimension tends to infinity the associated eigenvalue density can develop…
Non-Hermitian random matrices with a variance profile (II): properties and examples
Nicholas A. Cook, Walid Hachem, Jamal Najim +1
For each , let be an deterministic matrix and let be an random matrix with i.i.d. centered entries of unit variance. In the…
Randomly coupled differential equations with elliptic correlations
László Erdős, Torben Krüger, David Renfrew
We consider the long time asymptotic behavior of a large system of linear differential equations with random coefficients. We allow for general elliptic correlation structures…