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Volumn 207, Issue 1, 2004, Pages 216-252

Sparse potentials with fractional Hausdorff dimension

Author keywords

Fractional dimension; Schr dinger operators; Singular continuous spectrum; Sparse potentials

Indexed keywords


EID: 1642560621     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(03)00180-0     Document Type: Article
Times cited : (23)

References (10)
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    • (1987)
    • Cycoon, H.L.1    Froese, R.G.2    Kirsch, W.3    Simon, B.4
  • 2
    • 85030895242 scopus 로고    scopus 로고
    • On fast Birkhoff averaging
    • preprint
    • A.H. Fan, J. Schmeling, On fast Birkhoff averaging, preprint.
    • Fan, A.H.1    Schmeling, J.2
  • 3
    • 0002280835 scopus 로고
    • On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
    • D.J. Gilbert, D.B. Pearson, On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators, J. Math. Anal. Appl. 128 (1987) 30-56.
    • (1987) J. Math. Anal. Appl. , vol.128 , pp. 30-56
    • Gilbert, D.J.1    Pearson, D.B.2
  • 4
    • 0001666109 scopus 로고    scopus 로고
    • Power-law subordinacy and singular spectra, I. Half-line operators
    • S. Jitomirskaya, Y. Last, Power-law subordinacy and singular spectra, I. Half-line operators, Acta Math. 183 (1999) 171-189.
    • (1999) Acta Math. , vol.183 , pp. 171-189
    • Jitomirskaya, S.1    Last, Y.2
  • 5
    • 0002388738 scopus 로고    scopus 로고
    • Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
    • A. Kiselev, Y. Last, B. Simon, Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators, Comm. Math. Phys. 194 (1998) 1-45.
    • (1998) Comm. Math. Phys. , vol.194 , pp. 1-45
    • Kiselev, A.1    Last, Y.2    Simon, B.3
  • 6
    • 0035540306 scopus 로고    scopus 로고
    • Schrödinger operators with sparse potentials: Asymptotics of the Fourier transform of the spectral measure
    • D. Krutikov, C. Remling, Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure, Comm. Math. Phys. 223 (2001) 509-532.
    • (2001) Comm. Math. Phys. , vol.223 , pp. 509-532
    • Krutikov, D.1    Remling, C.2
  • 7
    • 0033074693 scopus 로고    scopus 로고
    • Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
    • Y. Last, B. Simon, Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators, Invent. Math. 135 (1999) 329-367.
    • (1999) Invent. Math. , vol.135 , pp. 329-367
    • Last, Y.1    Simon, B.2
  • 8
    • 0002464911 scopus 로고
    • Singular continuous measures in scattering theory
    • D.B. Pearson, Singular continuous measures in scattering theory, Comm. Math. Phys. 60 (1978) 13-36.
    • (1978) Comm. Math. Phys. , vol.60 , pp. 13-36
    • Pearson, D.B.1
  • 9
    • 0000913425 scopus 로고
    • Études de quelques propriétés des produits de Riesz
    • J. Peyriere, Études de quelques propriétés des produits de Riesz, Ann. Inst. Fourier (Grenoble) 25 (1975) 127-169.
    • (1975) Ann. Inst. Fourier (Grenoble) , vol.25 , pp. 127-169
    • Peyriere, J.1
  • 10
    • 0001758451 scopus 로고
    • Spectral analysis of rank one perturbations and applications
    • J. Feldman, R. Froese, L. Rosen (Eds.), American Mathematical Society, Providence, RI
    • B. Simon, Spectral analysis of rank one perturbations and applications, J. Feldman, R. Froese, L. Rosen (Eds.), CRM Proceedings and Lecture Notes, Vol. 8, American Mathematical Society, Providence, RI, 1995, pp. 109-149.
    • (1995) CRM Proceedings and Lecture Notes , vol.8 , pp. 109-149
    • Simon, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.