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@article{faucris.264334949,
abstract = {We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics in the bulk of the spectrum. The correlations have fast decay but are otherwise of general form. The key novelty is the detailed stability analysis of the corresponding matrix valued Dyson equation whose solution is the deterministic limit of the resolvent.},
author = {Ajanki, Oskari H. and Erdos, Laszlo and Krueger, Torben},
doi = {10.1007/s00440-018-0835-z},
faupublication = {no},
journal = {Probability Theory and Related Fields},
keywords = {Bulk universality; Correlated random matrix; Local law},
note = {CRIS-Team Scopus Importer:2021-09-24},
pages = {293-373},
peerreviewed = {Yes},
title = {{Stability} of the matrix {Dyson} equation and random matrices with correlations},
volume = {173},
year = {2019}
}