On very high multiplicity distributions

We show within a geometrical model developed in earlier papers that multiplicity distributions are cut off at large multiplicities. The sharpness of this cut-off is related to the sharpness (narrowness) of the assumed impact-parameter distribution of the multiplicities. The position and motion of the cut-off point are related to geometrical and KNO scaling and their violation, in particular, by the rise of the ratio sigma sub e sub l /sigma sub t. At the LHC energies a change of the regime, connected with the transition from shadowing to antishadowing, is expected