@article{AIHPA_1985__42_3_283_0,
author = {Delyon, Fran\c cois and Simon, Barry and Souillard, Bernard},
title = {From power pure point to continuous spectrum in disordered systems},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {43},
year = {1985},
pages = {283-309},
mrnumber = {797277},
zbl = {0579.60056},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1985__42_3_283_0}
}
Delyon, François; Simon, Barry; Souillard, Bernard. From power pure point to continuous spectrum in disordered systems. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) pp. 283-309. http://gdmltest.u-ga.fr/item/AIHPA_1985__42_3_283_0/
[1] , Percolation and Localization, in Ill-Condensed Matter Proceeding Les Houches, 1979, R. Balian, R. Maynard, G. Toulouse, editors, North-Holland, 1979. See also the reviews in Phys. Reports, t. 67, 1980. | MR 583170
[2] and , Franco-American Meeting on the Mathematics of Random and Almost Periodic Potentials, t. 36, p. 273-288, J. Stat. Phys., 1984.
[3] , Electrons in Random and Almost Periodic Potentials, Proceeding of the Workshop Common Trends in Particle and Condensed Matter Physics, Les Houches, 1983, Phys. Reports, t. 103, 1984, p. 41-46. | MR 839669
[4] and , The Theory of Impurity Conduction, Adv. Phys., t. 10, 1961, p. 107-163.
[5] , and , A pure Point Spectrum of the Stochastic and One-Dimensional Schrödinger Equation, Funct. Anal. i Pril., t. 11, 1977, p. 1-10; , The Structure of Eigenfunctions of One-Dimensional Unordered Structures, Math. USSR Izv., t. 12, 1978, p. 69-101. | MR 470515
[6] and , On the Spectrum of Random Finite Difference Operators, Commun. Math. Phys., t. 78, 1980, p. 201-246. | MR 597748 | Zbl 0449.60048
[7] , Exponential Localization in One-Dimensional Disordered Systems, Duke Math. J., t. 49, 1982, p. 191-213. | MR 650377 | Zbl 0491.60058
[8] , Study of Schrödinger Operators with Random Potential in One-Dimension, Bull. Soc. Math., France, t. 110, 1982, p. 27-48. | Numdam | MR 662128 | Zbl 0523.60054
[9] , Problèmes probabilistes liés à l'étude des opérateurs aux différences finies aléatoires, Ann. de l'Institut Elie Cartan, n° 7, Nancy, 1982. | Zbl 0495.60068
[10] , and , One Dimensional Wave Equation in Disordered Media, J. Phys., t. A 16, 1983, p. 25-42. | MR 700179 | Zbl 0512.60052
[11] and , The Localization Transition on the Bethe Lattice, J. Physique (Paris) Lettres, t. 44, 1983, p. 411, and to be published.
[12] , Some Jacobi Matrices with Decaying Potential and Dense Point Spectrum, Commun. Math. Phys., t. 87, 1983, p. 253-258. | MR 684102 | Zbl 0546.35048
[13] , , , , and , Schrödinger Operators with an Electric Field and Random or Deterministic Potentials. Commun. Math. Phys., t. 88, 1983, p. 387-397. | MR 701924 | Zbl 0531.60061
[14] , An Application of Asymptotic Techniques to Certain Problems of Spectral and Scattering Theory of Stark-Like Hamiltonians, Trans. AMS, t. 278, 1983, p. 817-839; Unitary equivalence and scattering theory for Stark-like Hamiltonians, J. Math. Phys., t. 25, 1984, p. 951-964. | MR 701525 | Zbl 0519.35064
[15] , One Dimensional Disordered System in an Electric Field, Sov. Phys. JETP, t. 52, 1980, p. 1185-1193.
[16] , , and , Localization in One-Dimensional Disordered Systems in the Presence of an Electric Field, Phys. Rev. Lett., t. 50, 1983, p. 764-767.
[17] , and , From Power Localized to Extended States in a Class of One-Dimensional Disordered Systems, Phys. Rev. Lett., t. 52, 1984, p. 2187.
[18] , and , Stark Wannier States in Disordered Systems, Marseille preprint, 1984.
[19] and , Subharmonicity of the Lyapunov Index, Duke Math. J., t. 50, 1983, p. 551-560. | MR 705040 | Zbl 0518.35027
[20] , Functional Integration and Quantum Physics, Academic Press, 1979. | MR 544188 | Zbl 0434.28013
[21] , Probability, Addison-Wesley, 1968, proposition 5.13, p. 88. | MR 229267 | Zbl 0174.48801
[22] and , J. Physique (Paris), t. 45, 1984, p. 1283-1295.
[23] , Private Communication.
[24] , One Dimensional Schrödinger operators with random or deterministic Potentials: New Spectral Types, J. Funct. Anal., t. 51, 1983, p. 229-258. | MR 701057 | Zbl 0516.60069