Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1977_11_1_a0, author = {I. Ya. Gol'dsheid and S. A. Molchanov and L. A. Pastur}, title = {A pure point spectrum of the stochastic one-dimensional {Schr\"odinger} operator}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {1--10}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {1977}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1977_11_1_a0/} }
TY - JOUR AU - I. Ya. Gol'dsheid AU - S. A. Molchanov AU - L. A. Pastur TI - A pure point spectrum of the stochastic one-dimensional Schr\"odinger operator JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1977 SP - 1 EP - 10 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1977_11_1_a0/ LA - ru ID - FAA_1977_11_1_a0 ER -
%0 Journal Article %A I. Ya. Gol'dsheid %A S. A. Molchanov %A L. A. Pastur %T A pure point spectrum of the stochastic one-dimensional Schr\"odinger operator %J Funkcionalʹnyj analiz i ego priloženiâ %D 1977 %P 1-10 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FAA_1977_11_1_a0/ %G ru %F FAA_1977_11_1_a0
I. Ya. Gol'dsheid; S. A. Molchanov; L. A. Pastur. A pure point spectrum of the stochastic one-dimensional Schr\"odinger operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 11 (1977) no. 1, pp. 1-10. http://geodesic.mathdoc.fr/item/FAA_1977_11_1_a0/
[1] Pastur L.A., Spektry sluchainykh yakobievskikh matrits i uravneniya Shredingera so sluchainymi potentsialami na vsei osi, Preprint, FTINT AN USSR, Kharkov, 1974
[2] Gordon A.Ya., “O tochechnom spektre odnomernogo operatora Shredingera”, UMN, XXXI:4 (1976), 257–258 | MR
[3] Dinaburg E.I., Sinai Ya.G., “Ob odnomernom uravnenii Shredingera s kvaziperiodicheskim potentsialom”, Funkts. analiz, 9:4 (1975), 8–21 | MR | Zbl
[4] Mott N., Elektrony v neuporyadochennykh strukturakh, Mir, M., 1969
[5] Halperin B.I., “Properties of a particle in a one-dimensional random potential”, Adv. in Chem. Phys., 13 (1967), 123–178 | DOI
[6] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl
[7] Goldsheid I.Ya., Molchanov S.A., “O probleme Motta”, DAN SSSR, 230:4 (1976), 761–764 | MR
[8] Makkin G., Stokhasticheskie integraly, Mir, M., 1972 | MR
[9] Levitan B.M., Sargsyan I.S., Vvedenie v spektralnuyu teoriyu, Nauka, M., 1970 | MR | Zbl
[10] Khermander L., “Gipoellipticheskie differentsialnye uravneniya vtorogo poryadka”, Matematika, 12:2 (1968), 88–109
[11] Ichihara K., Kunita H., “A classification of the second order degenerate elliptic operators, and its probabilistic characterisation”, Z. Wahrsch., 30:3 (1974), 235–254 | DOI | MR | Zbl
[12] Glazman I.M., Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, M., 1963 | MR
[13] Furstenberg P., “Noncommuting random products”, Trans. Amer. Math. Soc., 108:3 (1963), 337–428 | DOI | MR
[14] Krasnoselskii M.A., Polozhitelnye resheniya operatornykh uravnenii, Fizmatgiz, M., 1962 | MR
[15] Korolyuk V.S., Brodi S.M., Turbin A.F., Polumarkovskie protsessy i ikh primenenie, Naukova dumka, Kiev, 1976 | MR