The local semicircle law for random matrices with a fourfold symmetry

DOI10.1063/1.4932606zbMath1327.15074arXiv1506.04683OpenAlexW1952424342MaRDI QIDQ3450557

Johannes Alt

Publication date: 6 November 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04683

zbMATH Keywords

Fourier transformAnderson modelWigner semicircle lawGaussian orthogonal ensembleHermitian random matricesfourfold symmetry

Mathematics Subject Classification ID

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)

Related Items (4)

Local spectral statistics of Gaussian matrices with correlated entries ⋮ Spectral statistics of sparse Erdős-Rényi graph Laplacians ⋮ RANDOM MATRICES WITH SLOW CORRELATION DECAY ⋮ Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The local semicircle law for a general class of random matrices
• Random matrices: universality of local eigenvalue statistics
• Universality of random matrices and local relaxation flow
• Universality for generalized Wigner matrices with Bernoulli distribution
• Rigidity of eigenvalues of generalized Wigner matrices
• Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
• Local semicircle law and complete delocalization for Wigner random matrices
• Characteristic vectors of bordered matrices with infinite dimensions
• Bulk universality for generalized Wigner matrices
• The local relaxation flow approach to universality of the local statistics for random matrices
• Universality of local spectral statistics of random matrices
• Universality for random matrices and log-gases

This page was built for publication: The local semicircle law for random matrices with a fourfold symmetry