Mohammed Osman

collaborators

2 papers

math-ph2026

Mesoscopic Linear Statistics for Two Ensembles of Quantum Graphs

Anna Maltsev, Mohammed Osman

We study mesoscopic linear spectral statistics for two ensembles of random quantum graphs. These are defined by a discrete graph $G$ and a unitary-matrix-valued function $U (k)$ ind…

math.PR2025

Bulk Universality for Sparse Complex non-Hermitian Random Matrices

Mohammed Osman

We prove that the local eigenvalue statistics in the bulk for complex random matrices with independent entries whose $r$ -th absolute moment decays as $N^{- 1 - (r - 2) I^µ}$ for some $Îµ>…