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Singularité du spectre de l’opérateur de Schrödinger aléatoire dans un ruban ou un demi-ruban. (French) Zbl 0515.60067


MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
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References:

[1] J. Lacroix , Problèmes probabilistes liés à l’étude des opérateurs aux différences aléatoires . Annales de l’Institut Elie Cartan , Nancy , t. 7 , 1983 . Zbl 0495.60068 · Zbl 0495.60068
[2] Y. Yoshioka , On the singularity of the spectral measures of a semi infinite random system . Proc. Japan Acad. , t. 49 , 1973 , p. 665 . Article | MR 341972 | Zbl 0295.47031 · Zbl 0295.47031
[3] Furstenberg , Non commuting random products . Am. Math. Soc. , t. 108 , 1963 , p. 337 . Zbl 0203.19102 · Zbl 0203.19102
[4] Ossedelec , A multiplicative ergodic theorem . Trans. Moscow Math. Soc. , t. 19 , 1968 , p. 197 - 362 . Zbl 0236.93034 · Zbl 0236.93034
[5] Y. Guivarc’h , A. Raugi , Frontière de Furstenberg. Propriétés de contraction et théorèmes de convergence . Séminaire de Probabilités , Rennes , 1981 . · Zbl 0558.60009
[6] Pastur , Spectral properties of disordered systems in the one body approximation . Commun. Math. Phys. , t. 75 , 1980 , p. 179 - 196 . Article | MR 582507 | Zbl 0429.60099 · Zbl 0429.60099
[7] Goldseid , The structure of the Spectrum of the Schrödinger random difference operator . Soviet Math Dokl. , t. 22 , 1980 , n^\circ 3 . Zbl 0508.39010 · Zbl 0508.39010
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