球面和实投影平面上的低能点

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-06-01 DOI:10.1016/j.jco.2023.101742

Carlos Beltrán, Ujué Etayo, Pedro R. López-Gómez

引用次数: 3

摘要

我们给出了S2上的点族的推广，即Diamond系综，它包含了S2上N个点的集合，对于所有N∈N，它们的对数能量非常小。我们将这种构造推广到实射影平面RP2上，得到了最后一个空间上Green能量和对数能量的带显式常数的上界和下界。

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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Low-energy points on the sphere and the real projective plane

We present a generalization of a family of points on $S^{2}$ , the Diamond ensemble, containing collections of N points on $S^{2}$ with very small logarithmic energy for all $N \in N$ . We extend this construction to the real projective plane ${RP}^{2}$ and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space.

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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.

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