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On the Hausdorff Dimension of the Spectrum of the Thue–Morse Hamiltonian

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We show that the Hausdorff dimension of the spectrum of the Thue–Morse Hamiltonian has a common positive lower bound for all coupling.

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Authors and Affiliations

  1. Department of Computer Science, Beijing Institute of Technology, Beijing, 100081, Peoples’s Republic of China

    Qinghui Liu

  2. Department of Mathematics, Tsinghua University, Beijing, 100084, Peoples’s Republic of China

    Yanhui Qu

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  1. Qinghui Liu
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  2. Yanhui Qu
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Correspondence to Yanhui Qu.

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Communicated by L. Erdös

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Liu, Q., Qu, Y. On the Hausdorff Dimension of the Spectrum of the Thue–Morse Hamiltonian. Commun. Math. Phys. 338, 867–891 (2015). https://doi.org/10.1007/s00220-015-2377-x

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  • DOI: https://doi.org/10.1007/s00220-015-2377-x

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