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Volumn 220, Issue 1, 2005, Pages 76-96

Norm estimates of almost Mathieu operators

Author keywords

Almost Mathieu operators; Norms; Rotation C* algebras

Indexed keywords


EID: 12444266896     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.09.013     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 84868111233 scopus 로고    scopus 로고
    • Reducibility of non-uniform hyperbolicity for quasiperiodic Schrödinger cocycles
    • preprint Math.DS/0306382
    • A. Avila, R. Krikorian, Reducibility of non-uniform hyperbolicity for quasiperiodic Schrödinger cocycles, preprint Math.DS/0306382
    • Avila, A.1    Krikorian, R.2
  • 2
    • 0001539982 scopus 로고
    • On the measure of the spectrum for the almost Mathieu operator
    • J. Avron P.H.M. van Mouche B. Simon On the measure of the spectrum for the almost Mathieu operator Comm. Math. Phys. 132 1990 103-118
    • (1990) Comm. Math. Phys. , vol.132 , pp. 103-118
    • Avron, J.1    Van Mouche, P.H.M.2    Simon, B.3
  • 3
    • 0031101158 scopus 로고    scopus 로고
    • On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator
    • C. Béguin A. Valette A. Zuk On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator J. Geom. Phys. 21 1997 337-356
    • (1997) J. Geom. Phys. , vol.21 , pp. 337-356
    • Béguin, C.1    Valette, A.2    Zuk, A.3
  • 4
    • 0001883347 scopus 로고
    • K-theory of C*-algebras in solid state physics
    • (Groningen, 1985), Lecture Notes in Physics Springer, Berlin, New York
    • J. Bellissard, K-theory of C*-algebras in solid state physics, Statistical Mechanics and Field Theory: Mathematical Aspects (Groningen, 1985), Lecture Notes in Physics, vol. 257, Springer, Berlin, New York, 1986, pp. 99-156
    • (1986) Statistical Mechanics and Field Theory: Mathematical Aspects , vol.257 , pp. 99-156
    • Bellissard, J.1
  • 5
    • 21344486877 scopus 로고
    • Lipshitz continuity of gap boundaries for Hofstadter-like spectra
    • J. Bellissard Lipshitz continuity of gap boundaries for Hofstadter-like spectra Comm. Math. Phys. 160 1994 599-613
    • (1994) Comm. Math. Phys. , vol.160 , pp. 599-613
    • Bellissard, J.1
  • 6
    • 0000407064 scopus 로고
    • Cantor spectrum for the almost Mathieu equation
    • J. Bellissard B. Simon Cantor spectrum for the almost Mathieu equation J. Funct. Anal. 48 1982 408-419
    • (1982) J. Funct. Anal. , vol.48 , pp. 408-419
    • Bellissard, J.1    Simon, B.2
  • 7
    • 3042565109 scopus 로고    scopus 로고
    • Rotation C*-algebras and almost Mathieu operators
    • Bucharest: The Theta Foundation
    • F.P. Boca Rotation C*-algebras and almost Mathieu operators 2001 The Theta Foundation Bucharest
    • (2001)
    • Boca, F.P.1
  • 8
    • 0034310141 scopus 로고    scopus 로고
    • On nonperturbative localization with quasi-periodic potential
    • J. Bourgain M. Goldstein On nonperturbative localization with quasi-periodic potential Ann. Math. 152 2000 835-879
    • (2000) Ann. Math. , vol.152 , pp. 835-879
    • Bourgain, J.1    Goldstein, M.2
  • 9
    • 0001391870 scopus 로고
    • Gauss polynomials and the rotation algebras
    • M.D. Choi G.A. Elliott N. Yui Gauss polynomials and the rotation algebras Invent. Math. 99 1990 225-246
    • (1990) Invent. Math. , vol.99 , pp. 225-246
    • Choi, M.D.1    Elliott, G.A.2    Yui, N.3
  • 10
    • 0000325397 scopus 로고
    • Perturbations of the rotation C*-algebras and of the Heisenberg commutation relations
    • U. Haagerup M. Rørdam Perturbations of the rotation C*-algebras and of the Heisenberg commutation relations Duke Math. J. 77 1995 627-656
    • (1995) Duke Math. J. , vol.77 , pp. 627-656
    • Haagerup, U.1    Rørdam, M.2
  • 11
    • 0041070561 scopus 로고
    • Analyse semi-classique pour l'équation.II. Comportement semi-classique près d'un rationnel
    • Helffer B. Sjötrand J. Analyse semi-classique pour l'équation.III. Comportement semi-classique près d'un rationnel Mém. Soc. Math France 40 1990
    • (1990) Mém. Soc. Math France , vol.40
    • Helffer, B.1    Sjötrand, J.2
  • 12
    • 0002330387 scopus 로고
    • Analyse semi-classique pour l'équation.III. Cantor structure of the spectrum
    • Helffer B. Sjötrand J. Analyse semi-classique pour l'équation.III. Cantor structure of the spectrum Mem. Soc. Math. France (NS) 390 1989
    • (1989) Mem. Soc. Math. France (NS) , vol.390
    • Helffer, B.1    Sjötrand, J.2
  • 13
    • 0001032458 scopus 로고
    • Energy levels and wave functions of Bloch electrons in a rational or irrational magnetic field
    • D.R. Hofstadter Energy levels and wave functions of Bloch electrons in a rational or irrational magnetic field Phys. Rev. B 14 1976 2239-2249
    • (1976) Phys. Rev. B , vol.14 , pp. 2239-2249
    • Hofstadter, D.R.1
  • 14
    • 0033235963 scopus 로고    scopus 로고
    • Metal-insulator transition for the almost Mathieu operator
    • S.Ya. Jitomirskaya Metal-insulator transition for the almost Mathieu operator Ann. Math. 150 1999 1159-1175
    • (1999) Ann. Math. , vol.150 , pp. 1159-1175
    • Jitomirskaya, S.Y.1
  • 16
    • 33847667155 scopus 로고
    • Zero measure spectrum for the almost Mathieu operator
    • Y. Last Zero measure spectrum for the almost Mathieu operator Comm. Math. Phys. 164 1994 421-432
    • (1994) Comm. Math. Phys. , vol.164 , pp. 421-432
    • Last, Y.1
  • 17
    • 0842346768 scopus 로고    scopus 로고
    • Cantor spectrum for the almost Mathieu operator
    • J. Puig Cantor spectrum for the almost Mathieu operator Comm. Math. Phys. 244 2004 297-309
    • (2004) Comm. Math. Phys. , vol.244 , pp. 297-309
    • Puig, J.1
  • 18
    • 0002106681 scopus 로고    scopus 로고
    • Norm estimates of discrete Schrödinger operators
    • R. Szwarc Norm estimates of discrete Schrödinger operators Coll. Math. 76 1998 153-160
    • (1998) Coll. Math. , vol.76 , pp. 153-160
    • Szwarc, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.