M. Osman

collaborators

2 papers

math.PR2024

Bulk Universality for Real Matrices with Independent and Identically Distributed Entries

Mohammed Osman

We consider real, Gauss-divisible matrices $A_{t} = A + t B$ , where $B$ is from the real Ginibre ensemble. We prove that the bulk correlation functions converge to a universal li…

math.PR2023

Universality for Weakly Non-Hermitian Matrices: Bulk Limit

Mohammed Osman

We consider complex, weakly non-Hermitian matrices $A = W_{1} + i τ_{N} W_{2}$ , where $W_{1}$ and $W_{2}$ are Hermitian matrices and $τ_{N} = O (N^{- 1})$ . We first show that for pairs of H…