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• W2124492078 abstract "In the first part of the article we prove limit theorems of Marchenko-Pastur type for the average spectral distribution of random matrices with dependent entries satisfying a weak law of large numbers, uniform bounds on moments and a martingale like condition investigated previously by Goetze and Tikhomirov. Examples include log-concave unconditional distributions on the space of matrices. In the second part we specialize to random matrices with independent isotropic unconditional log-concave rows for which (using the Tao-Vu replacement principle) we prove the circular law." @default.
• W2124492078 created "2016-06-24" @default.
• W2124492078 creator A5034779632 @default.
• W2124492078 date "2011-01-01" @default.
• W2124492078 modified "2023-10-06" @default.
• W2124492078 title "On the Marchenko-Pastur and Circular Laws for some Classes of Random Matrices with Dependent Entries" @default.
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• W2124492078 doi "https://doi.org/10.1214/ejp.v16-899" @default.
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