Before revision:  On the other hand, a very closely related quantity, the survival probability, still shows a hyperbolic t^{-1/2} decay typical of a diffusion-like dynamics . Modifications of the Weibull and Student distributions are good candidates for a phenomenological description of first-passage time properties  .
After revision:  On the other hand, a very closely related quantity, the survival probability, shows, away from the center and tails of the distribution, a hyperbolic t^{-1/2} decay typical of a diffusion-like dynamics . Modifications of the Weibull and Student distributions are good candidates for a phenomenological description of first-passage time properties .