Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Wigner_matrices
|
| gptkbp:category |
gptkb:probability_theory
spectral theory |
| gptkbp:describes |
distribution of eigenvalues of large random symmetric matrices
|
| gptkbp:distributionShape |
semicircle
|
| gptkbp:field |
random matrix theory
|
| gptkbp:form |
(1/2πσ^2)√(4σ^2 - x^2) for |x| ≤ 2σ
|
| https://www.w3.org/2000/01/rdf-schema#label |
Wigner semicircle law
|
| gptkbp:limitation |
as matrix size approaches infinity
|
| gptkbp:namedAfter |
gptkb:Eugene_Wigner
|
| gptkbp:publishedIn |
1950s
|
| gptkbp:relatedTo |
universality in random matrices
|
| gptkbp:usedIn |
nuclear physics
number theory statistical physics quantum chaos |
| gptkbp:bfsParent |
gptkb:Gaussian_Unitary_Ensemble
gptkb:Gaussian_orthogonal_ensemble gptkb:Gaussian_symplectic_ensemble gptkb:Gaussian_unitary_ensemble |
| gptkbp:bfsLayer |
6
|