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arxiv: 1510.01147 · v1 · pith:ODDSJEFQnew · submitted 2015-10-05 · 🧮 math.PR

Local spectral statistics of Gaussian matrices with correlated entries

classification 🧮 math.PR
keywords correlatedentriesgaussianlocalbulkclassdecayelements
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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.

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