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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…