Leading twist shadowing, onset of black disk regime and post-selection phenomenon

We summarize results of the Generalization of the Gribov picture of nuclear shadowing in high energy processes off nuclei for calculating shadowing of the parton distributions in nuclei and some properties of the final states in small x processes in DIS are described. It is explained how account of the restrictions due to the energy-momentum conservation allows to choose approximations effective for the description of small x phenomena. Estimates of proximity of the pQCD interaction of small dipoles to the black disk limit are provided and the phenomenon of post-selection suppression of leading parton spectrum (effective fractional energy losses) in the proximity of the black disk regime in DIS is described. We argue that the resulting suppression of the the leading hadron production provides one of the most sensitive signals of the onset of new QCD dynamics. Evidence for importance of the post-selection phenomenon in the production of the leading pions in the d - Au collisions studied at RHIC is presented. We also outline briefly impact of rapid increase of parton distributions within pQCD at small x on the interplay of soft and hard QCD dynamics at the LHC.