[en] Analytic branching cascades are suggested to interpret the experimental data obtained in e⁺e^- annihilation into hadrons and in ultrarelativistic heavy-ion collisions. The branching dimension extracted from these data using normalized factorial moments (both for one- and two-dimensional cases and for rapidity and azimuthal phase spaces) turned out to be universal and equal to 2. The universal character of this phenomenon is emphasized by the fact that the same branching dimension d = 2 turned out to be relevant also to data obtained in a laboratory experiment on the branching cascades in the fluid turbulence. (orig.)