Dyson’s correlation functions and graded symmetry
From MaRDI portal
Publication:3349744
DOI10.1063/1.529419zbMath0727.60123OpenAlexW1963509894MaRDI QIDQ3349744
Publication date: 1991
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529419
Other physical applications of random processes (60K40) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)
Related Items (31)
Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence ⋮ An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices ⋮ Universal spectral correlations of the Dirac operator at finite temperature ⋮ Universality of correlation functions in random matrix models of QCD ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Derivation of the supersymmetric Harish-Chandra integral for UOSp(k1/2k2) ⋮ Gelfand-Tsetlin coordinates for the unitary supergroup ⋮ Toda lattice representation for random matrix model with logarithmic confinement ⋮ Brownian-motion ensembles of random matrix theory: a classification scheme and an integral transform method ⋮ Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case ⋮ Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges ⋮ Spectral correlations in the crossover between GUE and Poisson regularity: On the identification of scales ⋮ Exact results for quantum chaotic systems and one-dimensional fermions from matrix models. ⋮ Narain transform for spectral deformations of random matrix models ⋮ Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory ⋮ Orthogonality relations and supercharacter formulas of U(m|n) representations ⋮ Crossover ensembles of random matrices and skew-orthogonal polynomials ⋮ Correlations of RMT characteristic polynomials and integrability: Hermitean matrices ⋮ Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation ⋮ Between Poisson and GUE statistics: role of the Breit-Wigner width ⋮ Integration of Grassmann variables over invariant functions on flat superspaces ⋮ Fourier–Bessel analysis for ordinary and graded 2×2 Hermitian matrices ⋮ On the graded group U(1/1) ⋮ The microscopic spectral density of the QCD Dirac operator ⋮ Spectral correlations of the massive QCD Dirac operator at finite temperature ⋮ A spin glass model for the loss surfaces of generative adversarial networks ⋮ Character expansion method for supergroups and extended superversions of the Leutwyler–Smilga and Berezin–Karpelevich integrals ⋮ Scaling properties of localization in random band matrices: A σ-model approach ⋮ Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds ⋮ The statistics of spectral shifts due to finite rank perturbations ⋮ Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles
Cites Work
This page was built for publication: Dyson’s correlation functions and graded symmetry