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Almost mathieu equation for small and big coupling constants

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1031)

Keywords

  • Lebesgue Measure
  • Fourier Expansion
  • Generalize Eigenvector
  • MATHIEU Equation
  • Irrational Rotation

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References

  1. J. BELLISSARD, R. LIMA, D. TESTARD. About the spectrum of the Almost-Mathieu hamiltonian. Marseille Preprint (1982)

    Google Scholar 

  2. R.S. PEIERLS. Z. Phys 80 763 (1933)

    CrossRef  ADS  Google Scholar 

  3. G. ANDRE, S. AUBRY. Analyticity Breaking and Anderson localization in Incommensurate lattices. Ann. Israel Phys. Soc. 3 133 (1980)

    MathSciNet  MATH  Google Scholar 

  4. A. Ya. GORDON. Usp. Math.Nauk. 31 257 (1976)

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  5. J. AVRON, B. SIMON. Singular continuous spectrum for a class of almost-periodic Jacobi matrices. (Princeton Uni. Preprint) (1980)

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  6. H. RÜSSMANN. Ann. of New-York Acad. Scien. 387 90 (1980)

    CrossRef  Google Scholar 

  7. E. DINABURG, Ya SINAI Functionnal Analysis Appl. 9 279 (1975)

    CrossRef  MathSciNet  Google Scholar 

  8. P.R. HALMOS. Lectures in Ergodic Theory. Chelsea. Pub. Company. New-York (1961)

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© 1983 Springer-Verlag

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Testard, D. (1983). Almost mathieu equation for small and big coupling constants. In: Blanchard, P., Streit, L. (eds) Dynamics and Processes. Lecture Notes in Mathematics, vol 1031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072116

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  • DOI: https://doi.org/10.1007/BFb0072116

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12705-5

  • Online ISBN: 978-3-540-38691-9

  • eBook Packages: Springer Book Archive