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math.DSSep 17, 2014
7
citations (OpenAlex)
authors
  • Qinghui Liu
  • Yanhui Qu
institutions
  • Beijing Institute of Technology
  • Tsinghua University
arXiv abstractPDF
paper

On the Hausdorff dimension of the spectrum of Thue-Morse Hamiltonian

arXiv:1410.1856 · doi:10.1007/s00220-015-2377-x

Abstract

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

arXiv commentsubstantial overlap with arXiv:1403.2257

References in corpus (9)

  • The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian
  • Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
  • Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian
  • Bers and Hénon, Painlevé and Schroedinger
  • Hyperbolicity of the Trace Map for the Weakly Coupled Fibonacci Hamiltonian
  • Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
  • Spectra of Discrete Schrödinger Operators with Primitive Invertible Substitution Potentials
  • The fractal dimensions of the spectrum of Sturm Hamiltonian
  • Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution

Cited by in corpus (2)

  • The spectrum of period-doubling Hamiltonian
  • Quantization of Conductance in Quasi-Periodic Quantum Wires
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