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Next article Random Matrices in PhysicsEugene P. WignerEugene P. Wignerhttps: //doi. org/10. 1137/1009001PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 C. E. Porter, C. E. Porter, Fluctuations of quantal spectraStatistical Theories of Spectra: Fluctuations, Academic Press, New York, 1965 Google Scholar2 Madan Lal Mehta, Random matrices, Academic Press Inc. , Boston, MA, 1991xviii+562 MR1083764 0780. 60014 Google Scholar3 J. Wishart, Generalized product moment distribution in samples, Biometrika, 20 A (1928), 32–52, (Correction: Ibid. , 20 A (1928), p. 425. ) CrossrefGoogle Scholar4 R. A. Fisher, The sampling distribution of some statistics obtained from non-linear equations, Ann. Eugenics, 9 (1939), 238–249, (now Ann. Human Genetics) MR0001499 0022. 37202 CrossrefGoogle Scholar5 A. T. James, Normal multivariate analysis and the orthogonal group, Ann. Math. Statistics, 25 (1954), 40–75 MR0060779 0055. 13203 CrossrefISIGoogle Scholar6 Samuel S. 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Lett. , 6 (1963), 123–125 10. 1016/0031-9163 (63) 90247-6 CrossrefISIGoogle Scholar Next article FiguresRelatedReferencesCited byDetails A mathematical perspective on edge-centric brain functional connectivity16 May 2022 | Nature Communications, Vol. 13, No. 1 Cross Ref Imaging and computing with disorder8 September 2022 | Nature Physics, Vol. 18, No. 9 Cross Ref Multivariate Statistical Analysis of Interaction Mechanism and Identity in Multiethnic Community Based on Random MatrixMathematical Problems in Engineering, Vol. 2022 Cross Ref Defining hierarchical protein interaction networks from spectral analysis of bacterial proteomes17 August 2022 | eLife, Vol. 11 Cross Ref Disordered Complex Networks: Energy Optimal Lattices and Persistent HomologyIEEE Transactions on Information Theory, Vol. 68, No. 8 Cross Ref On the Vectorial Property of Stochastic Dyadic Green's Function in Complex Electronic Enclosures Cross Ref Integrability of the ν=4/3 fractional quantum Hall edge states14 June 2022 | Quantum, Vol. 6 Cross Ref Coulomb and Riesz gases: The known and the unknownJournal of Mathematical Physics, Vol. 63, No. 6 Cross Ref Level Compressibility of Certain Random Unitary Matrices7 June 2022 | Entropy, Vol. 24, No. 6 Cross Ref Functional renormalization group for multilinear disordered Langevin dynamics I Formalism and first numerical investigations at equilibrium5 May 2022 | Journal of Physics Communications, Vol. 6, No. 5 Cross Ref Random matrix theory for quantum and classical metastability in local Liouvillians6 May 2022 | Physical Review B, Vol. 105, No. 18 Cross Ref Supercell symmetry modified spectral statistics of Kramers-Weyl fermions27 April 2022 | Journal of Physics A: Mathematical and Theoretical Cross Ref Quantum kicked rotor and its variants: Chaos, localization and beyondPhysics Reports, Vol. 956 Cross Ref Eigenvalues of Random Matrices with Generalized Correlations: A Path Integral Approach22 March 2022 | Physical Review Letters, Vol. 128, No. 12 Cross Ref Optimal delocalization for generalized Wigner matricesAdvances in Mathematics, Vol. 396 Cross Ref Spectral crossovers and universality in quantum spin chains coupled to random fields21 January 2022 | Physical Review B, Vol. 105, No. 1 Cross Ref On the Statistical Analysis of Space-Time Wave Physics in Complex Enclosures Cross Ref Probing Many-Body Systems near Spectral Degeneracies26 September 2021 | Symmetry, Vol. 13, No. 10 Cross Ref Random Matrix Theory and Its ApplicationsStatistical Science, Vol. 36, No. 3 Cross Ref Generic features in the spectral decomposition of correlation matricesJournal of Mathematical Physics, Vol. 62, No. 8 Cross Ref Self-Assembly of Biomolecular Condensates with Shared Components24 June 2021 | Physical Review Letters, Vol. 126, No. 25 Cross Ref Quantized dynamics in closed quantum systems23 April 2021 | Journal of Physics A: Mathematical and Theoretical, Vol. 54, No. 20 Cross Ref Dimension-free bounds for largest singular values of matrix Gaussian series26 September 2019 | Communications in Statistics - 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E. P. Wigner (Sun,) studied this question.
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