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

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

Abstract

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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球面和实投影平面上的低能点

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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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

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