The wave equation in random domains : localization of the normal modes in the small frequency region
Martinelli, Fabio
Annales de l'I.H.P. Physique théorique, Tome 43 (1985), p. 227-249 / Harvested from Numdam
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Publié le : 1985-01-01
@article{AIHPA_1985__43_2_227_0,
     author = {Martinelli, Fabio},
     title = {The wave equation in random domains : localization of the normal modes in the small frequency region},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {43},
     year = {1985},
     pages = {227-249},
     mrnumber = {817537},
     zbl = {0582.60068},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1985__43_2_227_0}
}

Martinelli, Fabio. The wave equation in random domains : localization of the normal modes in the small frequency region. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) pp. 227-249. http://gdmltest.u-ga.fr/item/AIHPA_1985__43_2_227_0/

[1] E. Guazzelli, E. Guyon, B. Souillard, On the localization of shallow water waves by a random bottom. J. Phys. (Paris) Lett., t. 44, 1983.

[2] P.W. Anderson, Absence of diffusion in certain random systems. Phys. Rev., t. 109, 1958.

[3] D.J. Thouless, Phys. Repts., t. 13, 1974.

[4] L. Pastur, Spectral properties of disordered systems in one body approximation. Comm. Math. Phys., t. 75, 1980. | MR 582507 | Zbl 0429.60099

[5] B. Simon, B. Souillard, Franco-American meeting on the mathematics of random and almost periodic potential, J. Stat. Phys., t. 36, 1984.

[6] J. Frohlich, F. Martinelli, E. Scoppola, T. Spencer, Constructive proof of localization in the Anderson tight-binding model. Comm. Math. Phys. (in press). | Zbl 0573.60096

[7] B. Simon, T. Wolff, Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Preprint Caltech, 1985. | MR 820340

[8] F. Delyon, Y. Levy, B. Souillard, Anderson localization for multidimensional systems at large disorder or large energy, Comm. Math. Phys. (to appear). | MR 806247 | Zbl 0576.60053

[9] J. Frohlich, T. Spencer, Absence of diffusion in the Anderson model tight-binding model for large disorder or low energy, Comm. Math. Phys., t. 88, 1983. | MR 696803 | Zbl 0519.60066

[10] G. Jona-Lasinio, F. Martinelli, E. Scoppola, Multiple tunnelings in d-dimensions: A quantum particle in a hierarchical potential. Ann. Inst. H. Poincaré, t. 42, n° 1, 1985. | Numdam | MR 794366 | Zbl 0586.35030

[11] H. Holden, F. Martinelli, Absence of diffusion near the bottom of the spectrum for a Schrödinger operator on L, Comm. Math. Phys., t. 93, 1984. | MR 742193 | Zbl 0546.60063

[12] M. Serra, Opérateur de Laplace-Beltrami sur une variété quasi périodique, Université de Provence, Marseille, 1983.

[13] B. Simon, Schrödinger semigroups. Bull. Amer. Math. Soc., t. 7, 1983. | MR 670130 | Zbl 0524.35002

[14] W. Kirsch, F. Martinelli, On the ergodic properties of the spectrum of general random operators. J. reine angew. Math., t. 334, 1982. | MR 667454 | Zbl 0476.60058

[15] W. Kirsch, F. Martinelli, On the spectrum of Schrödinger operators with a random potential, Comm. Math. Phys., t. 85, 1982. | MR 678150 | Zbl 0506.60058

[16] F. Martinelli, E. Scoppola, A remark on the absence of absolutely continuous spectrum in the Anderson model for large disorder or low energy, Comm. Math. Phys., t. 97, 1985.

[17] F. Wegner, Bounds on the density of states in disordered systems, Z. Phys., t. B. 14, 1981. | MR 639135

[18] W. Kirsch, F. Martinelli, Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians, Comm. Math. Phys., t. 89, 1983. | MR 707770 | Zbl 0517.60071

[19] M. Reed, B. Simon, Methods of modern mathematical physics IV. Acad. Press, 1980. | MR 751959 | Zbl 0401.47001