A central limit theorem with quantitative Kolmogorov bounds holds for the volume of the random partial sphere covering by N caps of fraction 1/N, valid up to logarithmic dimension growth.
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Central Limit Theorem for Random Partial Sphere Coverings in High Dimensions
A central limit theorem with quantitative Kolmogorov bounds holds for the volume of the random partial sphere covering by N caps of fraction 1/N, valid up to logarithmic dimension growth.