J. Alt

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math.PR2026

Critical Erd{\H o}s-RÃ©nyi digraph: all eigenvectors away from zero are delocalized

Johannes Alt, Sarah Timhadjelt

We consider the adjacency matrix of the directed Erd{\H o}s-RÃ©nyi 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 $L^{\infty}$ -valued circular elements

Johannes Alt, Torben KrÃ¼ger

We consider the Brown measure of $a + c$ , where $a$ lies in a commutative tracial von Neumann algebra $B$ and $c$ is a $B$ -valued circular e…

math.PR2024

Spectrum occupies pseudospectrum for random matrices with diagonal deformation and variance profile

Johannes Alt, Torben KrÃ¼ger

We consider $n \times n$ non-Hermitian random matrices with independent entries and a variance profile, as well as an additive deterministic diagonal deformation. We show that their…

Critical Erd{\H o}s-RÃ©nyi digraph: all eigenvectors away from zero are delocalized

Brown measures of deformed L∞-valued circular elements

Spectrum occupies pseudospectrum for random matrices with diagonal deformation and variance profile

Brown measures of deformed $L^{\infty}$ -valued circular elements