Gaussian Unitary Ensemble

URI: https://gptkb.org/entity/Gaussian_Unitary_Ensemble
GPTKB entity
Statements (33)
Predicate Object
gptkbp:instanceOf random matrix ensemble
gptkbp:abbreviation gptkb:GUE
gptkbp:application number theory
statistical physics
quantum chaos
gptkbp:eigenvalueDistribution gptkb:Wigner_semicircle_law
gptkbp:ensembleParameter N (matrix size)
beta=2
variance parameter
gptkbp:field gptkb:mathematics
mathematical physics
random matrix theory
gptkbp:hasEigenvalueCorrelation gptkb:determinantal_point_process
gptkbp:hasInvariant unitary transformations
gptkbp:hasJointProbabilityDensity explicit formula
https://www.w3.org/2000/01/rdf-schema#label Gaussian Unitary Ensemble
gptkbp:introduced gptkb:Eugene_Wigner
gptkbp:matrixEntryDistribution complex normal distribution
gptkbp:matrixRepresentation Hermitian matrix
gptkbp:relatedTo gptkb:Gaussian_Orthogonal_Ensemble
gptkb:Gaussian_Symplectic_Ensemble
gptkb:Tracy-Widom_distribution
gptkb:Wigner_semicircle_law
Dyson index
ensemble average
spectral statistics
universality in random matrices
gptkbp:symmetry unitary symmetry
gptkbp:usedIn complex systems
nuclear physics
statistical analysis of spectra
gptkbp:bfsParent gptkb:Wigner_semicircle_distribution
gptkbp:bfsLayer 5