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Local Spectral Statistics of Gaussian Matrices with Correlated Entries

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.

Detalles Bibliográficos
Autores principales: Ajanki, Oskari H., Erdős, László, Krüger, Torben
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4926669/
https://www.ncbi.nlm.nih.gov/pubmed/27418707
http://dx.doi.org/10.1007/s10955-016-1479-y
Descripción
Sumario: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.