Bulk universality for deformed Wigner matrices
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Publication:726807
DOI10.1214/15-AOP1023zbMath1346.15037arXiv1405.6634MaRDI QIDQ726807
Ben Stetler, Ji Oon Lee, Kevin Schnelli, Horng-Tzer Yau
Publication date: 14 July 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.6634
Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Limit theorems in probability theory (60F99)
Related Items (36)
Local elliptic law ⋮ Universality of the least singular value for sparse random matrices ⋮ Extremal eigenvalues and eigenvectors of deformed Wigner matrices ⋮ Isotropic self-consistent equations for mean-field random matrices ⋮ Local law and Tracy-Widom limit for sparse random matrices ⋮ Mesoscopic perturbations of large random matrices ⋮ Edge universality for non-Hermitian random matrices ⋮ Convergence of local statistics of Dyson Brownian motion ⋮ Spectral statistics of sparse Erdős-Rényi graph Laplacians ⋮ Universality for general Wigner-type matrices ⋮ Cusp universality for random matrices. I: Local law and the complex Hermitian case ⋮ Critical behavior of non-intersecting Brownian motions ⋮ Eigenvectors of the square grid plus GUE ⋮ Rigidity of eigenvalues for \(\beta\) ensemble in multi-cut regime ⋮ Quenched universality for deformed Wigner matrices ⋮ Universality for random matrix flows with time-dependent density ⋮ Dyson Brownian motion for general \(\beta\) and potential at the edge ⋮ Matrix regularizing effects of Gaussian perturbations ⋮ Stability of the matrix Dyson equation and random matrices with correlations ⋮ Fixed energy universality of Dyson Brownian motion ⋮ RANDOM MATRICES WITH SLOW CORRELATION DECAY ⋮ Universality in several-matrix models via approximate transport maps ⋮ Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentials ⋮ Local spectral statistics of the addition of random matrices ⋮ Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Spectral measures of spiked random matrices ⋮ Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices ⋮ Large deviations for extreme eigenvalues of deformed Wigner random matrices ⋮ Universality of the least singular value for the sum of random matrices ⋮ Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices ⋮ Delocalization and continuous spectrum for ultrametric random operators ⋮ Eigenvalues for the minors of Wigner matrices ⋮ Optimal multi-resolvent local laws for Wigner matrices ⋮ Spiked sample covariance matrices with possibly multiple bulk components ⋮ Spherical Sherrington-Kirkpatrick model for deformed Wigner matrix with fast decaying edges
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