6 papers
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…
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…
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…
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…
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…
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
László ErdÅs, Torben Krüger, Dominik Schröder
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp sing…