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Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian Hamiltonians

  • Author(s): Damanik, D
  • Gorodetski, A
  • et al.
Abstract

© 2015 Springer-Verlag Berlin Heidelberg We consider the spectrum of discrete Schrödinger operators with Sturmian potentials and show that for sufficiently large coupling, its Hausdorff dimension and its upper box counting dimension are the same for Lebesgue almost every value of the frequency.

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