3 papers
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.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.PR2025
Universal scaling limits at the spectral singularity of structured random matrices
Markus Ebke, Torben Krüger
The empirical spectral distribution of Hermitian -block random matrices converges to a deterministic density on the real line with a potential atom at the origin as the…