105 citations · 490 across the 24 of their papers we have counts for
3 papers · 2 filters
Optimal multi-resolvent local laws for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a Wigner random matrix with deterministic matrices in between. We find that the si…
Normal fluctuation in quantum ergodicity for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We consider the quadratic form of a general deterministic matrix on the eigenvectors of an Wigner matrix and prove that it has Gaussian fluctuation for each bulk eigenv…
Thermalisation for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We compute the deterministic approximation of products of Sobolev functions of large Wigner matrices and provide an optimal error bound on their fluctuation with very high prob…