Density of states for Gaussian unitary ensemble, Gaussian orthogonal ensemble, and interpolating ensembles through supersymmetric approach

DOI10.1063/1.4830013zbMath1288.82003OpenAlexW2034519281MaRDI QIDQ5410946

Mira Shamis

Publication date: 17 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4830013

zbMATH Keywords

density of statesGaussian unitary ensembleintegral formulaGaussian orthogonal ensembleWigner's law

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Classical equilibrium statistical mechanics (general) (82B05) Supersymmetry and quantum mechanics (81Q60) Random matrices (algebraic aspects) (15B52)

Related Items (8)

Supersymmetric cluster expansions and applications to random Schrödinger operators ⋮ A convergent \({\frac{1}{N}}\) expansion for GUE ⋮ Density of states for random band matrices in two dimensions ⋮ Spectral statistics of the uni-modular ensemble ⋮ Functional central limit theorems for Wigner matrices ⋮ On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases ⋮ Dependence of the density of states on the probability distribution. II: Schrödinger operators on \(\pmb{\mathbb{R}}^d\) and non-compactly supported probability measures ⋮ Density of small singular values of the shifted real Ginibre ensemble

Cites Work

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• Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
• Exact density of states for finite Gaussian random matrix ensembles via supersymmetry
• DENSITY OF STATES FOR GUE THROUGH SUPERSYMMETRIC APPROACH
• SUSY Statistical Mechanics and Random Band Matrices

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