×

zbMATH — the first resource for mathematics

Sur le spectre des opérateurs aux différences finies aléatoires. (French) Zbl 0449.60048

MSC:
60H25 Random operators and equations (aspects of stochastic analysis)
60J45 Probabilistic potential theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Amrein, W.O., Georgescu, V.: Helv. Phys. Acta46, 635 (1973)
[2] Anderson, P.W.: Phys. Rev.109, 1492 (1958) · doi:10.1103/PhysRev.109.1492
[3] Anderson, P.W.: Rev. Mod. Phys.50, 191 (1978) · doi:10.1103/RevModPhys.50.191
[4] Berge, C.: Graphes et Hypergraphes. Paris: Dunod 1970 · Zbl 0213.25702
[5] Borland, R.E.: Proc. R. Soc. London. Ser. A.274, 529 (1963) · Zbl 0114.23002 · doi:10.1098/rspa.1963.0148
[6] Bourbaki, N.: Eléments de mathématiques-Intégration. Paris: Hermann 1960
[7] Casher, A., Lebowitz, J.L.: J. Math. Phys. N.Y.12, 1701 (1971) · doi:10.1063/1.1665794
[8] Eggarter, T.P.: J. Math. Phys. N.Y.14, 1308 (1973) · doi:10.1063/1.1666181
[9] Furstenberg, H.: Am. Math. Soc.108, 337 (1963) · doi:10.1090/S0002-9947-1963-0163345-0
[10] Gol’dsheid, I.Ya.: Communication au Symposium International de Théorie de l’Information. Tbilissi, Juillet (1979)
[11] Gol’dscheid, I.Ya., Molchanov, S.A., Pastur, L.A.: Funkts. Anal. Prilozhen11, 1 (1977) · Zbl 0368.34015 · doi:10.1007/BF01135526
[12] Halperin, B.I.: Adv. Chem. Phys.13, 123 (1967) · doi:10.1002/9780470140154.ch6
[13] Ishii, K.: Supp. Prog. Theor. Phys.53, 77 (1973) · doi:10.1143/PTPS.53.77
[14] Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0148.12601
[15] Krein, M.G., Rutman, M.A.: Usp. Mat. Nauk3, 3 (1948), Transl. Am. Math. Soc.26 (1950)
[16] Kunz, H., Souillard, B.: Random Schrödinger operators and the theory of disordered systems, some rigorous results, à paraître dans les actes du colloque international ”Random fields: rigorous results in statistical mechanics and field theory” juin 1979, Esztergom, Hongrie
[17] Matsuda, H., Ishii, K.: Supp. Prog. Theor. Phys.45, 56 (1970) · doi:10.1143/PTPS.45.56
[18] Molchanov, S.A.: Math. USSR Izvestija,42 (1978), Trad.12, 69 (1978)
[19] Mott, N.: Rev. Mod. Phys.50, 203 (1978) · doi:10.1103/RevModPhys.50.203
[20] Mott, N., Twose, W.D.: Adv. Phys.10, 107 (1961) · doi:10.1080/00018736100101271
[21] O’Connor, A.J.: Commun. Math. Phys.45, 63 (1975) · Zbl 0394.60027 · doi:10.1007/BF01609867
[22] Pastur, L.A.: Russian Math. Surv.28, 1 (1973) · Zbl 0277.60049 · doi:10.1070/RM1973v028n01ABEH001396
[23] Pastur, L.A.: Spectrum of random Jacobi matrices and Schrödinger equations with random potential in the whole axis (en russe), prétirage, FINT Akad. Nauk. Ukr. S.S.R., Kar’kov (1974), non publié
[24] Reed, M., Simon, B.: Methods of modern mathematical physics, Vol. I à IV. New York: Academic Press 1972–1979
[25] Royer, G. Croissance exponentielle de produits markoviens de matrices aléatoires, prétirage Université Pierre et Marie Curie. Paris (1979)
[26] Ruelle, D.: Nuovo Cimento A61, 655 (1969)
[27] Schwartz, L.: Cours de l’Ecole Polytechnique, Tome I et II. Paris: Hermann 1970
[28] Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford: Oxford University Press (1973) · Zbl 0298.28001
[29] Stieltjes, T.: Oeuvres complètes.
[30] Thouless, D.: Phys. Rep.13, 93 (1974) · doi:10.1016/0370-1573(74)90029-5
[31] Verheggen, T.: Commun. Math. Phys.68, 69 (1979) · Zbl 0446.60056 · doi:10.1007/BF01562542
[32] Weaire, D., Thorpe, M.F.: Phys. Rev.4, 2508 (1971) · doi:10.1103/PhysRevB.4.2508
[33] Yoshioka, Y.: Proc. Jpn. Acad.49, 665 (1973) · Zbl 0295.47031 · doi:10.3792/pja/1195519174
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.