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The Lyapounov index, the density of states and their regularity for general stochastic potentials

Part III: Random Schrödinger operators. Wave Propagation in Random Media

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1186)

Keywords

  • Rotation Number
  • Periodic Potential
  • Uniform Continuity
  • Integrate Density
  • Small Divisor

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References

  1. W. Craig; Pure point spectrum for discrete almost periodic Schrödinger operators. Comm. Math. Phys. 88 113–131 (1983).

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  2. W. Craig and B. Simon; Subharmonicity of the Lyapounov index. Duke Math. J. 50 no. 2 551–560 (1983).

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  3. —; Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Comm. Math. Phys. 90 207–218 (1983).

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  4. R. Johnson and J. Moser; The rotation number for almost periodic potentials. Comm. Math. Phys. 84 403–438 (1982).

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  8. B. Simon and M. Taylor; Harmonic analysis on SL(2, R) and smoothness of the density of states in the one-dimensional Anderson model. Comm. Math. Phys. to appear.

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© 1986 Springer-Verlag

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Craig, W. (1986). The Lyapounov index, the density of states and their regularity for general stochastic potentials. In: Arnold, L., Wihstutz, V. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1186. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076845

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  • DOI: https://doi.org/10.1007/BFb0076845

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16458-6

  • Online ISBN: 978-3-540-39795-3

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