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Volumn 290, Issue 3, 2009, Pages 935-939

A family of Schrödinger operators whose spectrum is an interval

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EID: 70350008134     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0724-x     Document Type: Article
Times cited : (7)

References (8)
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    • Avila, A., Bochi, J., Damanik, D.: Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Duke. Math. J. (to appear), 2007
    • Avila, A., Bochi, J., Damanik, D.: Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Duke. Math. J. (to appear), available at http://arxiv.org/abs/07092667v2[math.DS], 2007.
  • 2
    • 70350034765 scopus 로고    scopus 로고
    • Avila, A., Jitomirskaya, S.: The Ten Martini Problem. Ann. Math. (to appear)
    • Avila, A., Jitomirskaya, S.: The Ten Martini Problem. Ann. Math. (to appear), available at http://annals.math.princeton.edu/issues/2006/FinalFiles/AvilaJitomirskay aFinal.pdf.
  • 3
    • 70350013029 scopus 로고    scopus 로고
    • Bourgain, J.: Positive Lyapounov exponents for most energies. In: Geometric aspects of functional analysis, Lecture Notes in Math. 1745, Berlin: Springer, 2000, pp. 37-66
    • Bourgain, J.: Positive Lyapounov exponents for most energies. In: Geometric aspects of functional analysis, Lecture Notes in Math. 1745, Berlin: Springer, 2000, pp. 37-66.
  • 4
    • 84860070594 scopus 로고    scopus 로고
    • Bourgain, J.: Green's function estimates for lattice Schrödinger operators and applications. Annals of Mathematics Studies, 158. Princeton, NJ: Princeton University Press, 2005, x+173 pp
    • Bourgain, J.: Green's function estimates for lattice Schrödinger operators and applications. Annals of Mathematics Studies, 158. Princeton, NJ: Princeton University Press, 2005, x+173 pp.
  • 5
    • 51249166486 scopus 로고
    • Uniform distribution and Hardy fields
    • Boshernitzan M.: Uniform distribution and Hardy fields. J. Anal. Math. 62, 225-240 (1994).
    • (1994) J. Anal. Math. , vol.62 , pp. 225-240
    • Boshernitzan, M.1
  • 6
    • 0000990161 scopus 로고
    • Localization by pseudorandom potentials in one dimension
    • Griniasty M., Fishman S.: Localization by pseudorandom potentials in one dimension. Phys. Rev. Lett. 60, 1334-1337 (1988).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 1334-1337
    • Griniasty, M.1    Fishman, S.2
  • 7
    • 0033074693 scopus 로고    scopus 로고
    • Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
    • Last Y., Simon B.: Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators. Invent. Math. 125, 329-268 (1999).
    • (1999) Invent. Math. , vol.125 , pp. 329-268
    • Last, Y.1    Simon, B.2
  • 8
    • 51249166810 scopus 로고
    • Spectral theory for slowly oscillating potentials. I. Jacobi matrices
    • Stolz G.: Spectral theory for slowly oscillating potentials. I. Jacobi matrices. Manus. Math. 84(3-4), 245-260 (1994).
    • (1994) Manus. Math. , vol.84 , Issue.3-4 , pp. 245-260
    • Stolz, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.