Gaussian orthogonal ensemble

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb: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
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
https://www.w3.org/2000/01/rdf-schema#label	Gaussian orthogonal ensemble