  We deform conformal field theories with classical gravity duals by marginally
relevant random disorder. We show that the disorder generates a flow to IR
fixed points with a finite amount of disorder. The randomly disordered fixed
points are characterized by a dynamical critical exponent $z>1$ that we obtain
both analytically (via resummed perturbation theory) and numerically (via a
full simulation of the disorder). The IR dynamical critical exponent increases
with the magnitude of disorder, probably tending to $z \to \infty$ in the limit
of infinite disorder.
