title: Local Spectral Statistics of Gaussian Matrices with Correlated Entries.
abstract: We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries.
authors.affiliation: IST Austria, Klosterneuburg, Austria.
authors.forename: Oskari H
authors.initials: OH
authors.lastname: Ajanki
authors.affiliation: IST Austria, Klosterneuburg, Austria.
authors.forename: László
authors.initials: L
authors.lastname: Erdős
authors.affiliation: IST Austria, Klosterneuburg, Austria.
authors.forename: Torben
authors.initials: T
authors.lastname: Krüger
keywords: Dependent random matrix; Local law ; Off-diagonal resolvent decay; Universality