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The minimal spherical dispersion

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 نشر من قبل Joscha Prochno
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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In this paper we prove upper and lower bounds on the minimal spherical dispersion. In particular, we see that the inverse $N(varepsilon,d)$ of the minimal spherical dispersion is, for fixed $varepsilon>0$, up to logarithmic terms linear in the dimension $d$. We also derive upper and lower bounds on the expected dispersion for points chosen independently and uniformly at random from the Euclidean unit sphere.



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