Free Access
Issue
Math. Model. Nat. Phenom.
Volume 5, Number 4, 2010
Spectral problems. Issue dedicated to the memory of M. Birman
Page(s) 158 - 174
DOI https://doi.org/10.1051/mmnp/20105407
Published online 12 May 2010
  1. A. Avila. On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators. Commun. Math. Phys., 288 (2009), 907–918. [CrossRef]
  2. J. Avron, B. Simon. Almost periodic Schrödinger operators. I. Limit periodic potentials. Commun. Math. Phys., 82 (1981), 101–120. [CrossRef]
  3. W. Craig, B. Simon. Subharmonicity of the Lyaponov index. Duke Math. J., 50:2 (1983), 551–560. [CrossRef] [MathSciNet]
  4. D. Damanik, Z. Gan. Spectral properties of limit-periodic Schrödinger operators. To appear in to appear in Discrete Contin. Dyn. Syst. Ser. S.
  5. D. Damanik, Z. Gan. Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents. J. Funct. Anal. 258:12 (2010), 4010–4025 [CrossRef] [MathSciNet]
  6. D. Damanik, Z. Gan. Limit-periodic Schrödinger operators with uniformly localized eigenfunctions. Preprint, (arXiv:1003.1695).
  7. D. Damanik, A. Gorodetski. The spectrum of the weakly coupled Fibonacci Hamiltonian. Electron. Res. Announc. Math. Sci., 16 (2009), 23–29. [CrossRef] [MathSciNet]
  8. A. Figotin, L. Pastur. An exactly solvable model of a multidimensional incommensurate structure. Commun. Math. Phys., 95 (1984), 401–425. [CrossRef]
  9. S. Fishman, D. Grempel, R. Prange. Localization in a d-dimensional incommensurate structure. Phys. Rev. B, 29 (1984), 4272–4276. [CrossRef] [MathSciNet]
  10. Z. Gan, H. Krüger. Optimality of log Hölder continuity of the integrated density of states. To appear in Math. Nachr.
  11. S. Jitomirskaya. Continuous spectrum and uniform localization for ergodic Schrödinger operators. J. Funct. Anal., 145 (1997), 312–322. [CrossRef] [MathSciNet]
  12. S. Jitomirskaya, B. Simon. Operators with singular continuous spectrum, III. Alomost periodic Schrödinger operators. Commun. Math. Phys., 165 (1994), 201–205. [CrossRef]
  13. J. Pöschel. Examples of discrete Schrödinger operators with pure point spectrum. Commun. Math. Phys., 88 (1983), 447–463. [CrossRef]
  14. R. Prange, D. Grempel, S. Fishman. A solvable model of quantum motion in an incommensurate potential. Phys. Rev. B, 29 (1984), 6500–6512. [CrossRef] [MathSciNet]
  15. L. Ribes, P. Zalesskii. Profinite Groups. Springer-Verlag, Berlin, 2000.
  16. B. Simon. Equilibrium measures and capacities in spectral theory. Inverse Probl. Imaging, 1 (2007), No. 4, 713–772. [CrossRef] [MathSciNet]
  17. J. Wilson. Profinite Groups. Oxford University Press, New York, 1998.

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