  The dynamical transition occurring in spin-glass models with one step of
Replica-Symmetry-Breaking is a mean-field artifact that disappears in finite
systems and/or in finite dimensions. The critical fluctuations that smooth the
transition are described in the $\beta$ regime by dynamical stochastic
equations. The quantitative parameters of the dynamical stochastic equations
have been computed analytically on the 3-spin Bethe lattice Spin-Glass by means
of the (static) cavity method and the equations have been solved numerically.
The resulting parameter-free dynamical predictions are shown here to be in
excellent agreement with numerical simulation data for the correlation and its
fluctuations.
