Random matrices: The Four Moment Theorem for Wigner ensembles

zbMath1327.15075arXiv1112.1976MaRDI QIDQ3194891

Van H. Vu, Terence C. Tao

Publication date: 20 October 2015

Full work available at URL: https://arxiv.org/abs/1112.1976

zbMATH Keywords

spectral statisticsfour-moment theoremWigner random matrix ensemble

Mathematics Subject Classification ID

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

Related Items (9)

GOE statistics for Lévy matrices ⋮ Density and spacings for the energy levels of quadratic Fermi operators ⋮ Localization and delocalization of eigenvectors for heavy-tailed random matrices ⋮ Large deviation theorem for zeros of polynomials and Hermitian random matrices ⋮ The ergodicity landscape of quantum theories ⋮ Bootstrap consistency for quadratic forms of sample averages with increasing dimension ⋮ Bulk universality for generalized Wigner matrices with few moments ⋮ Melonic dominance and the largest eigenvalue of a large random tensor ⋮ Tail bounds for gaps between eigenvalues of sparse random matrices

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