3 papers
math.PR2026
Critical Erd{\H o}s-Rényi digraph: all eigenvectors away from zero are delocalized
Johannes Alt, Sarah Timhadjelt
We consider the adjacency matrix of the directed Erd{\H o}s-Rényi graph. As long as the expected degree is larger than the logarithm of the number of vertices, the graph is connec…
math.PR2026
Brown measures of deformed -valued circular elements
Johannes Alt, Torben Krüger
We consider the Brown measure of , where lies in a commutative tracial von Neumann algebra and is a -valued circular e…
math.PR2024
Spectrum occupies pseudospectrum for random matrices with diagonal deformation and variance profile
Johannes Alt, Torben Krüger
We consider non-Hermitian random matrices with independent entries and a variance profile, as well as an additive deterministic diagonal deformation. We show that their…