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- W2620320285 abstract "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 Dyson equation and random matrices with correlations’, Probab. Theory Related Fields 173 (1–2) (2019), 293–373] to allow slow correlation decay and arbitrary expectation. The main novel tool is a systematic diagrammatic control of a multivariate cumulant expansion." @default.
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- W2620320285 date "2019-01-01" @default.
- W2620320285 modified "2023-10-18" @default.
- W2620320285 title "RANDOM MATRICES WITH SLOW CORRELATION DECAY" @default.
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- W2620320285 doi "https://doi.org/10.1017/fms.2019.2" @default.
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