3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2024
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…