大属的畸变双曲面和谱隙

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-17 DOI:10.2140/apde.2024.17.1377

Yunhui Wu, Haohao Zhang, Xuwen Zhu

引用次数: 0

摘要

我们研究了属g的双曲面上拉普拉斯函数的两个连续特征值λi- λi-1（i最大为2g- 2）的差值，并证明了随着属的无穷大，模空间上的这种谱差距的上极大值至少有14个下极大值。此外，还建立了退化双曲面上特征值的最小-最大原则。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Degenerating hyperbolic surfaces and spectral gaps for large genus

We study the differences of two consecutive eigenvalues $λ_{i} - λ_{i - 1}$ , $i$ up to $2 g - 2$ , for the Laplacian on hyperbolic surfaces of genus $g$ , and show that the supremum of such spectral gaps over the moduli space has infimum limit at least $\frac{1}{4}$ as the genus goes to infinity. A min-max principle for eigenvalues on degenerating hyperbolic surfaces is also established.

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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.