Universality for random matrices and log-gases

zbMath1291.15086arXiv1212.0839MaRDI QIDQ5419734

László Erdős

Publication date: 11 June 2014

Full work available at URL: https://arxiv.org/abs/1212.0839

zbMATH Keywords

random matricesmean field models\(\beta\)-ensemblelocal semicircle lawDyson Brownian motionDe Giorgi-Nash-Moser theorylocal eigenvalue statistics, universalityWigner-Dyson-Gaudin-Mehta conjecture

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items (10)

Coulomb and Riesz gases: The known and the unknown ⋮ The local semicircle law for random matrices with a fourfold symmetry ⋮ Universality for conditional measures of the sine point process ⋮ Delocalization of eigenvectors of random matrices with independent entries ⋮ Some open problems in random matrix theory and the theory of integrable systems. II ⋮ Computing spectral measures and spectral types ⋮ No-gaps delocalization for general random matrices ⋮ The density of states of 1D random band matrices via a supersymmetric transfer operator ⋮ Some connections between the classical Calogero-Moser model and the log-gas ⋮ Gaussian fluctuations and moderate deviations of eigenvalues in unitary invariant ensembles

This page was built for publication: Universality for random matrices and log-gases