  Within the point vortex model, we compute the probability distribution
function of the velocity fluctuations induced by same-signed vortices scattered
within a disk according to a fractal distribution of distances to origin $\sim
r^{-\alpha}$. We show that the different random configurations of vortices
induce velocity fluctuations that are broadly distributed, and follow a
power-law tail distribution, $P(V)\sim V^{\alpha-2}$ with a scaling exponent
determined by the $\alpha$ exponent of the spatial distribution. We also show
that the range of the power-law scaling regime in the velocity distribution is
set by the mean density of vortices and the exponent $\alpha$ of the vortex
density distribution.
