Scaling violations beyond the leading order

A method which generalizes beyond leading orer, the simple probabilistic interpretation of leading scaling violations, is presented. The results allow the prediction of the evolution with the variation of external invariants not only of space-like processes where the off-shell partons starting the hard interaction have space-like four momenta, but also of time-like processes where the partons acting in the fragmentation functions have time-like off- shell invariant masses. The details of the construction of this method are described for deep inelastic scattering or one-particle inclusive electron- position annihilation