Article PDF
Avoid common mistakes on your manuscript.
References
Arnold, L.: On the asymptotic distribution of the eigenvalues of random matrices. J. math. Analysis Appl. 20, 262–268 (1967).
- Deterministic version of Wigner's semicircle law for the distribution of matrix eigenvalues. (To appear.)
Feller, W.: An introduction to probability theory and its applications, Vol. II. New York: John Wiley 1966.
Heyde, C.C., Rohatgi, V.K.: A pair of complementary theorems on convergence rates in the law of large numbers. Proc. Cambridge philos. Soc. 63, 73–82 (1967).
Loève, M.: Probability theory, 2nd edn. New York: Van Nostrand 1960.
Metha, M.L.: Random matrices. New York: Academic Press 1967.
Porter, C.E. (ed.): Statistical theories of spectra: Fluctuations. New York: Academic Press 1965.
Wigner, E.P.: Random matrices in physics. SIAM Review 9, 1–23 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arnold, L. On Wigner's semicircle law for the eigenvalues of random matrices. Z. Wahrscheinlichkeitstheorie verw Gebiete 19, 191–198 (1971). https://doi.org/10.1007/BF00534107
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00534107