  We study black hole formation during the gravitational collapse of a massless
scalar field in asymptotically $AdS_D$ spacetimes for $D=4,5$. We conclude that
spherically symmetric gravitational collapse in asymptotically $AdS$ spaces is
turbulent and characterized by a Kolmogorov-Zakharov spectrum. Namely, we find
that after an initial period of weakly nonlinear evolution, there is a regime
where the power spectrum of the Ricci scalar evolves as $\omega^{-s}$ with the
frequency, $\omega$, and $s\approx 1.7\pm 0.1$.
