On the spectrum of lattice Schrödinger operators with deterministic potential (II)

Journal d'Analyse Mathematique

Volumn 88, Issue , 2002, Pages 221-254

  Bourgain, J ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036934165     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02786578     Document Type: Article

References (11)

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3. [BJ] J. Bourgain and S. Jitomirskaya, Nonperturbative absolutely continuous spectrum for ID quasi-periodic operators, Invent. Math., to appear.
4. 2 with quasi-periodic potential, Acta Math., to appear.
5. [CS] V. Chulaevsky and Y. Sinai, Anderson localization for the ID discrete Schrödinger operator with two-frequency potential, Comm. Math. Phys. 125 (1989), 91-112.
6. n. Pure point spectrum, Comm. Math. Phys. 153 (1993), 559-577.
7. [C-De] V. Chulaevsky and F. Delyon, Purely absolutely continuous spectrum for almost Mathieu operators, J. Stat. Phys. 55 (1989), 1279-1284.
8. [F-K] A. Fedorov and F. Klopp, Transition d'Anderson pour des oṕrateurs de Schrödinger quasi-periodiques en dimension I, Séminaire: Equations aux Dérivées Partielles, 1998-1999, Exp. IV.
9. [GS] M. Goldstein and W. Schlag, Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions, Ann. of Math (2) 154 (2001), 155-203.
10. [J] S. Jitomirskaya, Metal-insulator transition for the almost Mathieu operator, Ann. of Math. 150 (1999), 1159-1175.
11. [L] Y. Last, Almost everything about the almost Mathieu operator I, in Proc. XI Internat. Congr. Math. Phys. (Paris 1994), Internat. Press, Cambridge, MA, 1995, pp. 366-372.