准周期Schrödinger算子Hölder连续性的频率依赖性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-07-26 DOI:10.4171/JFG/68

P. Munger

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引用次数: 4

摘要

我们证明了V（n）=λ（b（n+1）βc−bnβc）形式的离散Schrödinger算子的态密度测度的Hölder指数的估计，其中λ足够大，并得出结论，对于几乎所有的β值，态密度测度都不是Hölder连续的。

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Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators

We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form V (n)= λ (b(n+1)βc−bnβc), with λ large enough, and conclude that for almost all values of β , the density of states measure is not Hölder continuous.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.