Développement asymptotique de la densité d'états pour des opérateurs de Schrödinger aléatoires singuliers

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1. [1] T. Ando and H. Fukuyama, editors. Anderson Localization, volume 28 of Springer Proceedings in Physics, Heidelberg, 1988. Springer. 
2. [2] R. Carmona, A. Klein, and F. Martinelli.Anderson localization for Bernoulli and other random potentials. Communications in Mathematical Physics, 108:41-67, 1987. Zbl0615.60098MR872140
3. [3] R. Carmona and J. Lacroix.Spectral Theory of Random Schrôdinger Operators. Birkhäuser, Basel, 1990. Zbl0717.60074MR1102675
4. [4] J.M. Combes, P.D. Hislop, and E. Mourre.Spectral averaging, perturbation of singular spectra and localization. PreprintE.S.I, 124,1994. Zbl0868.35081MR1344205
5. [5] W. Craig and B. Simon.Log-Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Communications in Mathematical Physics, 90:207-218, 1983. Zbl0532.60057MR714434
6. [6] W. Craig and B. Simon.Subharmonicity of the Ljapunov index. Duke Mathematical Journal, 50:551-559,1983. Zbl0518.35027MR705040
7. [7] B. Halperin.Properties of a particle in a one-dimensional random potential. Advances in Chemical Physics, 13:123-178,1967. 
8. [8] R. Hempel and W. Kirsch.On the integrated density of states for crystals with randomly distributed impurities. Communications in Mathematical Physics, 159:459-469,1994. Zbl0790.60055MR1259403
9. [9] W. Kirsch and F. Martinelli.On the spectrum of Schrödinger operators with a random potential. Communications in Mathematical Physics, 85:329-350,1982. Zbl0506.60058MR678150
10. [10] W. Kirsch and F. Martinelli.On the essential self-adjointness of stochastic Schrödinger operators. Duke Mathematical Journal, 50:1255-1260,1983. Zbl0543.60069MR726328
11. [11] F. Klopp.An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Random Operators and Stochastic Equations, 1995. A paraître. Zbl0841.60047MR1373138
12. [12] F. Klopp.The density of states of random Schrödinger operators with singular randomness. In Proccedings Conference 'Spectral Theory of Schrödinger Operators', Madras, 1995. Zbl0841.60047
13. [13] F. Klopp.Localization for some continuous random Schrödinger operators. Communications in Mathematical Physics, 167:553-570,1995. Zbl0820.60044MR1316760
14. [14] F. Klopp.A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder. soumis auJournal of Functional Analysis, 1995. Zbl0884.60059
15. [15] I.M. Lifshits, S.A. Gredeskul, and L.A. Pastur.Introduction to the theory of disordered systems. Wiley, New-York, 1988. MR1042095
16. [16] Th. M. Nieuwenhuizen and J.M. Luck.Singular behavior of the density of states and the Lyapunov coefficient in binary random harmonic chains. Journal of Statistical Physics, 41:745-771,1985. MR823622
17. [17] L. Pastur and A. Figotin.Spectra of Random and Almost-Periodic Operators. Springer Verlag, Berlin, 1992. Zbl0752.47002MR1223779
18. [18] M. Reed and B. Simon.Methods of Modern Mathematical Physics, Vol I: Functional Analysis. Academic Press, New-York, 1980. Zbl0242.46001MR751959
19. [19] B. Simon and M. Taylor.Harmonic analysis on sl(2, R) and smoothness of the density of states in the one-dimensional Anderson model. Communications in Mathematical Physics, 101:1-20,1985. Zbl0577.60067MR814540
20. [20] F. Wegner.Bounds on the density of states in disordered systems. Zeitschrift für Physik B, 44:9-15, 1981. MR639135
21. [21] D.R. Yafaev.Mathematical Scattering Theory, volume 105 of Transaction of Mathematical Monographs.American Mathematical Society, Providence, R.I, 1992. Zbl0761.47001MR1180965