메뉴 건너뛰기




Volumn 287, Issue 2, 2009, Pages 565-588

Hölder continuity of the rotation number for quasi-periodic co-cycles in SL(2, ℝ)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 61549110957     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0688-x     Document Type: Article
Times cited : (97)

References (13)
  • 1
    • 61549113887 scopus 로고    scopus 로고
    • Almost localization and almost reducibility
    • arXiv: 0805. 1761v1 [math.DS] to appear in
    • Avila A., Jitomirskaya S.: Almost localization and almost reducibility. arXiv: 0805. 1761v1 [math.DS], 2008, to appear in J. Eur. Math. Soc.
    • (2008) J. Eur. Math. Soc.
    • Avila, A.1    Jitomirskaya, S.2
  • 2
    • 0002318342 scopus 로고    scopus 로고
    • Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime
    • 2
    • J. Bourgain 2000 Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime Lett. Math. Phys. 51 2 83 118
    • (2000) Lett. Math. Phys. , vol.51 , pp. 83-118
    • Bourgain, J.1
  • 3
    • 0002995943 scopus 로고
    • The rotation number for finite difference operators and its properties
    • 3
    • F. Delyon B. Souillard 1983 The rotation number for finite difference operators and its properties Commu. Math. Phys. 89 3 415 426
    • (1983) Commu. Math. Phys. , vol.89 , pp. 415-426
    • Delyon, F.1    Souillard, B.2
  • 4
    • 0001055893 scopus 로고
    • The one-dimensional Schrödinger equation with quasiperiodic potential
    • E.I. Dinaburg Ja.G. Sinaǐ 1975 The one-dimensional Schrödinger equation with quasiperiodic potential Funk. Anal. Prilož. 9-4 8 21
    • (1975) Funk. Anal. Prilož. , vol.94 , pp. 8-21
    • Dinaburg, E.I.1    Sinaǐ, Ja.G.2
  • 5
    • 29144531817 scopus 로고    scopus 로고
    • Almost reducibility of linear quasi-periodic systems
    • L.H. Eliasson 2001 Almost reducibility of linear quasi-periodic systems Proc. Sympos. Pure Math. 69 679 705
    • (2001) Proc. Sympos. Pure Math. , vol.69 , pp. 679-705
    • Eliasson, L.H.1
  • 6
    • 0001401431 scopus 로고
    • Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
    • L.H. Eliasson 1992 Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation Commu. Math. Phys. 146-3 447 482
    • (1992) Commu. Math. Phys. , vol.1463 , pp. 447-482
    • Eliasson, L.H.1
  • 8
    • 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
    • M. Goldstein W. Schlag 2001 Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions Ann. Math. (2) 154-1 155 203
    • (2001) Ann. Math. (2) , vol.1541 , pp. 155-203
    • Goldstein, M.1    Schlag, W.2
  • 9
    • 51249181642 scopus 로고
    • Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnol'd et de Moser sur le tore de dimension 2
    • M.-R. Herman 1983 Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnol'd et de Moser sur le tore de dimension 2 Comm. Math. Helv. 58-3 453 502
    • (1983) Comm. Math. Helv. , vol.583 , pp. 453-502
    • Herman, M.-R.1
  • 10
    • 9444266308 scopus 로고    scopus 로고
    • Réductibilité des systèmes produits-croisés à valeurs dans des groupes compacts
    • Krikorian, R.: Réductibilité des systèmes produits-croisés à valeurs dans des groupes compacts. Astérisque 259(1999)
    • (1999) Astérisque , vol.259
    • Krikorian, R.1
  • 11
    • 51249180848 scopus 로고
    • An extension of a result by Dinaburg and Sinaǐ on quasiperiodic potentials
    • J. Moser J. Pöschel 1984 An extension of a result by Dinaburg and Sinaǐ on quasiperiodic potentials Comm. Math. Hel. 59-1 39 85
    • (1984) Comm. Math. Hel. , vol.591 , pp. 39-85
    • Moser, J.1    Pöschel, J.2
  • 12
    • 0000798092 scopus 로고
    • On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus
    • Dynamical systems, theory and applications (Rencontres, Battelle Res. Inst., Seattle, Wash. Berlin-Heidelberg-New York: Springer
    • Rüssmann, H.: On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus. Dynamical systems, theory and applications (Rencontres, Battelle Res. Inst., Seattle, Wash. (1974) Lecture Notes in Phys. 38, Berlin-Heidelberg-New York: Springer, 1975, pp. 598-624
    • (1974) Lecture Notes in Phys. , vol.38 , pp. 598-624
    • Rüssmann, H.1
  • 13
    • 33749529806 scopus 로고
    • Structure of the spectrum of a Schrödinger difference operator with almost periodic potential near the left boundary
    • Ja.G. Sinaǐ 1985 Structure of the spectrum of a Schrödinger difference operator with almost periodic potential near the left boundary Funk. Anal. Priloz. 19-1 34 39
    • (1985) Funk. Anal. Priloz. , vol.191 , pp. 34-39
    • Sinaǐ, Ja.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.