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math.PR2024
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
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…