Local spectral statistics of Gaussian matrices with correlated entries
Probability
2016-03-23 v1
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.
Keywords
Cite
@article{arxiv.1510.01147,
title = {Local spectral statistics of Gaussian matrices with correlated entries},
author = {Oskari Ajanki and Laszlo Erdos and Torben Krüger},
journal= {arXiv preprint arXiv:1510.01147},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1506.05098