MULTIFRACTAL STRUCTURE IN HIGH-ENERGY COLLISIONS AND FINITE MULTIPLICITY CORRECTIONS

There are established rigorous relations between scaling indices which reveal on one hand the presence of intermittency and on the other han d the presence of multifractal phenomena represented by the frequency G-moments. In the procedure applied in present paper, also the corresp onding intercepts as well as an effective average multiplicity are inv olved. The last mentioned quantity is introduced by extending the rela tion which characterizes appearance of the multifractality. It is show n that the relation between scaling indices and corresponding slopes i s satisfied with sufficient accuracy by the data available so far on d eep-inelastic muon-nucleon scattering at 280 GeV.