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

David Damanik; Anton Gorodetski

doi:10.1007/s00220-015-2331-y

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arXiv · 1406.4810

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

David Damanik·Anton Gorodetski

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Abstract

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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BibTeX RIS

David Damanik, Anton Gorodetski. 2014-12-14. Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian Hamiltonians. https://doi.org/10.1007/s00220-015-2331-y

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