The local circular law. III: General case

DOI10.1007/s00440-013-0539-3zbMath1342.15031arXiv1212.6599OpenAlexW2162731138MaRDI QIDQ483315

Jun Yin

Publication date: 16 December 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6599

zbMATH Keywords

universalitylocal circular law

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (17)

Partial Linear Eigenvalue Statistics for Non-Hermitian Random Matrices ⋮ Fluctuations in the spectrum of non-Hermitian i.i.d. matrices ⋮ Local elliptic law ⋮ Edge universality for non-Hermitian random matrices ⋮ Local density for two-dimensional one-component plasma ⋮ Local single ring theorem on optimal scale ⋮ Local laws for non-Hermitian random matrices ⋮ Eigenvectors of non normal random matrices ⋮ Local inhomogeneous circular law ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth ⋮ Inhomogeneous circular law for correlated matrices ⋮ The circular law for random regular digraphs ⋮ Bounds for the Stieltjes transform and the density of states of Wigner matrices ⋮ Local laws for non-Hermitian random matrices and their products ⋮ Eigenvector correlations in the complex Ginibre ensemble ⋮ Random matrix products: universality and least singular values ⋮ Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

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