The local circular law. II: The edge case

From MaRDI portal
Publication:398776

DOI10.1007/s00440-013-0516-xzbMath1342.15028arXiv1206.3187OpenAlexW2075322384MaRDI QIDQ398776

Paul Bourgade, Horng-Tzer Yau, Jun Yin

Publication date: 15 August 2014

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

Full work available at URL: https://arxiv.org/abs/1206.3187



Related Items

CLT for non-Hermitian random band matrices with variance profiles, Partial Linear Eigenvalue Statistics for Non-Hermitian Random Matrices, Fluctuations in the spectrum of non-Hermitian i.i.d. matrices, The real Ginibre ensemble with \(k=O(n)\) real eigenvalues, Edge universality for non-Hermitian random matrices, Local density for two-dimensional one-component plasma, The distribution of overlaps between eigenvectors of Ginibre matrices, Local microscopic behavior for 2D Coulomb gases, Local single ring theorem on optimal scale, On the rightmost eigenvalue of non-Hermitian random matrices, Local laws for non-Hermitian random matrices, The local circular law. III: General case, Local inhomogeneous circular law, Powers of Ginibre eigenvalues, Extremal laws for the real Ginibre ensemble, Circular law for random block band matrices with genuinely sublinear bandwidth, Inhomogeneous circular law for correlated matrices, The circular law for random regular digraphs, Spectral Properties of Wigner Matrices, 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, Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions, Random matrix products: universality and least singular values, Rigidity of the three-dimensional hierarchical Coulomb gas, Random matrices: universality of local spectral statistics of non-Hermitian matrices, Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations, Rate of convergence to the Circular Law via smoothing inequalities for log-potentials, Transport maps for \(\beta\)-matrix models and universality



Cites Work