RANDOM MATRICES WITH SLOW CORRELATION DECAY

We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away from the spectral edges, generalizing the recent result of Ajanki et al. [‘Stability of the matrix Dy...

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Bibliographic Details
Main Authors: LÁSZLÓ ERDŐS, TORBEN KRÜGER, DOMINIK SCHRÖDER
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509419000021/type/journal_article