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

Laboratoire de Mathématiques Jean Leray
Université Paris-Saclay
Department of Mathematics
Tsinghua University
Department of Mathematics
Nanjing University

科研成果: 期刊稿件 › 文章 › 同行评审

10 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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title = "Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator",

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",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Qu, Yanhui

AU - Zhou, Qi

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N2 - 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.

AB - 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.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator

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