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Matrix Concentration Inequalities and Free Probability II. Two-sided Bounds and Applications
Afonso S. Bandeira, Giorgio Cipolloni, Dominik Schröder +1
The first paper in this series introduced a new family of nonasymptotic matrix concentration inequalities that sharply capture the spectral properties of very general random matric…
Optimal Lower Bound on Eigenvector Overlaps for non-Hermitian Random Matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik +1
We consider large non-Hermitian matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noi…
Towards the bulk universality of non-Hermitian random matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We consider the non-Hermitian analogue of the celebrated Wigner-Dyson-Mehta bulk universality phenomenon, i.e. that in the bulk the local eigenvalue statistics of a large random ma…