3 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 and a unitary-matrix-valued function 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 -th absolute moment decays as for some …
math.PR2023
Bulk Universality for Complex non-Hermitian Matrices with Independent and Identically Distributed Entries
Anna Maltsev, Mohammed Osman
We consider N x N matrices with complex entries that are perturbed by a complex Gaussian matrix with small variance. We prove that if the unperturbed matrix satisfies certain local…