Geodesic
On the spectrum of random matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 102-112 
L. A. Pastur. On the spectrum of random matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 102-112. http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the distribution of eigenvalues in a certain ensemble of random particles that contains as a special case the ensemble used by Wigner to give a statistical description of the energy levels of heavy nuclei, it is shown that the distribution function of the elgenvalues divided by the factor $N$ (the order of the matrices) becomes nonrandom In the limit $N\to\infty$ and can be found by solving a definite functional equation.

[2] M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels, Acad. Press, N. Y.–L., 1967 | MR

[3] I. M. Lifshits, UFN, 83 (1963), 617 | DOI

[4] V. A. Marchenko, L. A. Pastur, Matem. sb., 72 (1967), 507 | Zbl

[5] B. V. Gnedenko, Kurs teorii veroyatnostei, «Nauka», 1965 | MR

[6] R. Kurant, Uravneniya s chastnymi proizvodnymi, «Mir», 1964 | MR