On nonperturbative localization with quasi-periodic potential

Annals of Mathematics

Volumn 152, Issue 3, 2000, Pages 835-879

  Bourgain, J ^a   Goldstein, M ^a  

^a NONE

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[No Author keywords available]

Indexed keywords

EID: 0034310141     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2661356     Document Type: Article

References (8)

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2. J. BOURGAIN, M. GOLDSTEIN, and W. SCHLAG, Anderson localization for Schrödinger operators on ℤ with potentials given by the skew-shift, preprint 2000.
3. V. CHULAEVSKY and Y. SINAI, Anderson localization for multifrequency quasi-periodic potentials in one dimension, Comm. Math. Phys. 125 (1989), 91-121.
4. M. GOLDSTEIN and W. SCHLAG , Hölder continuity of the integrated density of states for quasiperiodic Schrödinger equations and averages of shifts of subharmonic functions, Ann. of Math., to appear.
5. M. HERMAN, Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore en dimension 2, Comment. Math. Helv. 58 (1983), 453-502.
6. S. JITOMIRSKAYA, Metal-insulator transition for the almost Mathieu operator, Ann. of Math. 150 (1999), 1159-1175.
7. J. MILNOR, On the Betti number of real varieties, Proc. A.M.S. 15 (1964), 275-280.
8. E. SORETS and T. SPENCER, Positive Lyapounov exponents for Schrödinger operators with quasi-periodic potential, Comm. Math. Phys. 142 (1991), 543-566.