We define a family of random sets of points, the Diamond ensemble, on the sphere ${\mathbb{S}}^2$ depending on several parameters. Its most important property is that, for some of these parameters, the asymptotic expected value of the logarithmic energy of the points can be computed rigorously and shown to attain very small values, quite close to the conjectured minimal value.

中文翻译：

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钻石合奏：具有少量对数能的一组构造球点

我们在球面上定义了一组随机的点集，即“钻石”合奏 ${\mathbb{小号}}^2$取决于几个参数。其最重要的特性是，对于其中的某些参数，可以对点的对数能量的渐近期望值进行精确计算，并显示出非常小的值，非常接近推测的最小值。