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.

arXiv admin note: text overlap with arXiv:1506.05098

References in corpus (4)

• Quadratic vector equations on complex upper half-plane
• Bulk eigenvalue statistics for random regular graphs
• Semicircle Law for a Class of Random Matrices with Dependent Entries
• The Local Semicircle Law for Random Matrices with a Fourfold Symmetry

Cited by in corpus (7)

• Random Matrices with Slow Correlation Decay
• Quadratic vector equations on complex upper half-plane
• Stability of the Matrix Dyson Equation and Random Matrices with Correlations
• Edge statistics of Dyson Brownian motion
• Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
• Universality of random matrices with correlated entries
• The Edge Universality of Correlated Matrices