Relativistically invariant description of multiple particle processes in the relative 4-velocity space is suggested. The main regularities of multiple particle processes, i.e. the correlation depletion principle of automodelity and intermediate asymptotics are generally formulated within the considered approach. The method based on new variables allows to give a relativistically invariant description of asymptotic properties of the excited hadron and nuclear matter at high energies (hadron jets, clusters, scale invariance, limiting fragmentation etc.). Large experimental material including hadron-hadron, hadron-nucleus, nucleus-nucleus and 7N interactions within an energy of P = 4 -205 GeV/c is analysing. The results obtained prove the truthfulness of main consequences of correlation depletion and automodelity principles. 1* 264 A. M. BALDIN, L. A. DIDENEO, Asymptotic Properties Reference [7]give arguments in favour of the fact that just the quantities b* and not the energy-momentum transfers determine the magnitude of the amplitude and thereby the interaction strength of the objects i and k. I n addition, the quantities bik define at which level (nucleon of quark) we should consider the structure of the interactions objects i and k. These arguments are as follows. 266 A. M. BALDIN, L. A. DIDENKO, Asymptotic PropertieB lo-'