@article{PS_1998__2__123_0, author = {Ben Arous, G\'erard and Zeitouni, Ofer}, title = {Large deviations from the circular law}, journal = {ESAIM: Probability and Statistics}, pages = {123--134}, publisher = {EDP-Sciences}, volume = {2}, year = {1998}, mrnumber = {1660943}, zbl = {0916.60022}, language = {en}, url = {http://www.numdam.org/item/PS_1998__2__123_0/} }
Ben Arous, Gérard; Zeitouni, Ofer. Large deviations from the circular law. ESAIM: Probability and Statistics, Tome 2 (1998), pp. 123-134. http://www.numdam.org/item/PS_1998__2__123_0/
Large deviations for Wigner's law and Voiculescu's non commutative entropy, Prob. Th. Rel. Fields, 108, 517-542. | MR | Zbl
, , ( 1997).The probability that a random real gaussian matrix has k real eigenvalues, related distributions, and the circular law, Jour. Multivariate Anal, 60, 203-232. | MR | Zbl
, ( 1997).Circular law, Theory Prob. Appl. 29, 694-706. | MR | Zbl
, ( 1984).Analytic function theory, Vol. II, Ginn and Co., Boston. | MR | Zbl
, ( 1962).Eigenvalue statistics of random real matrices, Phys. Rev. Let. 67. 941-944. | MR | Zbl
, , ( 1991).Random matrices, Academic Press, New York. | MR | Zbl
, ( 1991).Logarithmic energy as entropy functional, in: Advances in differential equations and mathematical physics, E. Carlen, E, M. Harrell and M. Loss, editors, Contemporary Mathematics, vol. 217, 205-221, AMS, Providence. | MR | Zbl
, , ( 1998).A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices, preprint. | Numdam | MR
, , ( 1997a).Eigenvalue density of the Wishart matrix and large deviations, preprint. | MR
, , ( 1997b).Where does the sup norm of a weighted polynomial live, Const. Approx., 1, 71-91. | MR | Zbl
, , ( 1985).