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Journal d'Analyse Mathematique
Volumn 87, Issue , 2002, Pages 37-75
On the spectrum of lattice Schrödinger operators with deterministic potential
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EID: 0036433781     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02868469     Document Type: Article
Times cited : (42)
References (8)
  • 1
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    • Positive Lyapounov exponents for most energies
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    • Bourgain, J.1
  • 2
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    • Estimates on Green's functions, Localization and the quantum kicked rotor model
    • [B2] to appear
    • [B2] J. Bourgain, Estimates on Green's functions, Localization and the quantum kicked rotor model, Ann. of Math. (2) (2002), to appear.
    • (2002) Ann. of Math. , Issue.2
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  • 3
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    • On nonperturbative localization with quasi-periodic potential
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    • [BG] J. Bourgain and M. Goldstein, On nonperturbative localization with quasi-periodic potential, Ann. of Math. (2) 152 (2000), 835-879.
    • (2000) Ann. of Math. , vol.152 , Issue.2 , pp. 835-879
    • Bourgain, J.1    Goldstein, M.2
  • 4
    • 84871166210 scopus 로고    scopus 로고
    • Anderson localization for Schrödinger operators on ℤ with potentials given by the skew-shift
    • [BGS] to appear
    • [BGS] J. Bourgain, M. Goldstein and W. Schlag, Anderson localization for Schrödinger operators on ℤ with potentials given by the skew-shift, Comm. Math. Phys. to appear.
    • Comm. Math. Phys.
    • Bourgain, J.1    Goldstein, M.2    Schlag, W.3
  • 5
    • 0035535652 scopus 로고    scopus 로고
    • Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
    • GS
    • [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.
    • (2001) Ann. of Math. , vol.154 , Issue.2 , pp. 155-203
    • Goldstein, M.1    Schlag, W.2
  • 6
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    • Metal-insulator transition for the almost Mathieu operator
    • J
    • [J] S. Jitomirskaya, Metal-insulator transition for the almost Mathieu operator, Ann. of Math. (2) 150 (1999), 1159-1175.
    • (1999) Ann. of Math. , vol.150 , Issue.2 , pp. 1159-1175
    • Jitomirskaya, S.1
  • 7
    • 0001885983 scopus 로고
    • Almost everything about the almost Mathieu operator I
    • [L] Internat. Press, Cambridge, MA
    • [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.
    • (1995) Proc. XI Internat. Congr. Math. Phys. (Paris 1994) , pp. 366-372
    • Last, Y.1
  • 8
    • 84966260816 scopus 로고
    • On the Betti numbers of real varieties
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    • [Mil] J. Milnor, On the Betti numbers of real varieties, Proc. Amer. Math. Soc. 15 (1964), 275-280.
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    • Milnor, J.1

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