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

Qinghui Liu; Yanhui Qu

doi:10.1007/s00220-015-2377-x

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

Qinghui Liu, Yanhui Qu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Tsinghua University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	867-891
Number of pages	25
Journal	Communications in Mathematical Physics
Volume	338
Issue number	2
DOIs	https://doi.org/10.1007/s00220-015-2377-x
Publication status	Published - 29 Sept 2015

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abstract = "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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On the Hausdorff Dimension of the Spectrum of the Thue–Morse Hamiltonian

Abstract

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