Eigenvalue distribution of random operators and matrices
Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 758, 17 p.
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Pastur, Leonid. Eigenvalue distribution of random operators and matrices, dans Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 758, 17 p. http://www.numdam.org/item/SB_1991-1992__34__445_0/

[1] U. Grenander, G. Szegö, Toeplitz form and their applications, Univ. Calif. Press, Berkeley, 1958. | MR | Zbl

[2] R. Carmona, J. Lacroix, Spectral theory of the random Schrödinger operator, Birkhäuser, Basel, 1990. | MR

[3] L. A. Pastur, A. L. Figotin, Spectra of Random and Almost Periodic Operators, Grundlehren der Math. Wiss., Springer, Heidelberg, 1992. | MR | Zbl

[4] M. L. Mehta, Random matrices, Academic Press, N. Y., 1967. | MR | Zbl

[5] V. Girko, Spectral theory of random matrices, Nauka, Moscow, 1988. | MR | Zbl

[6] L. A. Pastur, Spectra of Random Self-Adjoint Operators, Russ. Math. Surveys, 28, 1 (1973), 1-67. | MR | Zbl

[7] D. Bessis, C. Itzykson, J. Zuber, Quantum field theory techniques, Adv. App. Math., 1, 2 (1980), 109-157. | MR | Zbl

[8] M. Kus, M. Lewenstein, F. Haake, Density of eigenvalues pf random band matrices, Phys. Review, A44 (1991), 2800-2808. | MR

[9] L. Bogachev, S. Molchanov, L. Pastur, Teor. Matem. Fyz., 90 (1991), 31-42 (in Russian). | MR

[10] A. Khorunzhy, S. Molchanov, L. Pastur, Teor. Matem. Fyz., 92, 2, (1992) (in Russian).

[11] A. Khorunzhy, B. Khoruzhenko, L. Pastur, M. Shcherbina, The Large-n Limit in Statistical Mechanics and Spectral Theory of Disordered Systems. In "Phase Transitions and Critical Phenomena", eds. C.Domb and J.L.Lebowitz, 15, 73, Academic Press, London, 1992.

[12] E. Brezin, V. Kazakov, Exactly solvable field theories of closed strings, Phys. Lett., B236, 2 (1990),144-150; M. Douglas, S. Shenker, Nucl. Phys., B335 (1990), 635; D. Gross, A. Migdal, Nonperturbative solution of the Ising model on a random surface, Phys. Rev. Lett., 64, 7 (1990), 717-720. | MR

[13] D. S. Lubinsky, Strong asymptotics for extremal errors and polynomials associated with Erdös-type weights, Pitman Research Notes in Math., 202, Longmans, Harlow, 1989. | MR | Zbl

[14] L. Pastur (in press).

[15] L. Pastur, V. Tkachenko (in preparation).

[16] A. Khorunzhy, L. Pastur (in preparation).

[17] F. Wegner, Disordered system with n orbitals per site: n = ∞ limit, Phys. Rev., B19 (1979), 783-792.