  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.
