Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator

Bernard Helffer; Qinghui Liu; Yanhui Qu; Qi Zhou

doi:10.1007/s00220-018-3278-6

Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator

Bernard Helffer, Qinghui Liu, Yanhui Qu^*, Qi Zhou

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

We show that there exists a dense set of frequencies with positive Hausdorff dimension for which the Hausdorff dimension of the spectrum of the critical almost Mathieu operator is positive.

源语言	英语
页（从-至）	369-382
页数	14
期刊	Communications in Mathematical Physics
卷	368
期	1
DOI	https://doi.org/10.1007/s00220-018-3278-6
出版状态	已出版 - 1 5月 2019

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Helffer, B., Liu, Q., Qu, Y., & Zhou, Q. (2019). Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator. Communications in Mathematical Physics, 368(1), 369-382. https://doi.org/10.1007/s00220-018-3278-6

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abstract = "We show that there exists a dense set of frequencies with positive Hausdorff dimension for which the Hausdorff dimension of the spectrum of the critical almost Mathieu operator is positive.",

author = "Bernard Helffer and Qinghui Liu and Yanhui Qu and Qi Zhou",

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Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator

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