  We present holographic arguments to predict properties of strongly coupled
gravitational systems in terms of weakly coupled gauge theories. In particular
we relate the latest computed value for the Choptuik critical exponent in black
hole formation in five dimensions, \gamma_{5D}=0.412 \pm 1%, to the saturation
exponent of four-dimensional Yang-Mills theory in the Regge limit,
\gamma_{BFKL}\simeq 0.410.
