Gaussian orthogonal ensemble

URI: https://gptkb.org/entity/Gaussian_orthogonal_ensemble
GPTKB entity
Statements (28)
Predicate Object
gptkbp:instanceOf random matrix ensemble
gptkbp:abbreviation gptkb:GOE
gptkbp:application nuclear physics
number theory
statistical physics
quantum chaos
gptkbp:distribution gptkb:Gaussian_distribution
gptkbp:eigenvalue_statistics gptkb:Wigner-Dyson_statistics
gptkbp:ensemble_parameter beta=1
gptkbp:field gptkb:mathematics
mathematical physics
random matrix theory
gptkbp:hasInvariant orthogonal transformations
https://www.w3.org/2000/01/rdf-schema#label Gaussian orthogonal ensemble
gptkbp:introduced gptkb:Eugene_Wigner
gptkbp:matrix_element_distribution independent and identically distributed
gptkbp:matrix_element_mean zero
gptkbp:matrix_element_variance depends on normalization
gptkbp:matrix_size N x N
gptkbp:matrix_type real symmetric matrix
gptkbp:relatedTo gptkb:Wigner_semicircle_law
gptkb:Gaussian_symplectic_ensemble
gptkb:Gaussian_unitary_ensemble
gptkbp:symmetry_class orthogonal symmetry
gptkbp:used_in random matrix models
spectral statistics
gptkbp:bfsParent gptkb:Wigner_surmise
gptkbp:bfsLayer 5