Statistical characteristics of formation and evolution of structure in theUniverse

An approximate statistical description of the formation and evolution of st ructure of the Universe based on the Zel'dovich theory of gravitational ins tability is proposed. It is found that the evolution of dark matter (DM) st ructure shows features of self-similarity and the main structure characteri stics can be expressed through the parameters of the initial power spectrum and cosmological model. For the CDM-like power spectrum and suitable param eters of the cosmological model the effective matter compression reaches th e observed scales R-wall similar to 20-25h(-1) Mpc with the typical mean se paration of wall-like elements D-SLSS similar to 50-70h(-1) Mpc. This descr iption can be directly applied to the deep pencil beam galactic surveys and absorption spectra of quasars, For larger 3D catalogues and simulations it can be applied to results obtained with the core-sampling analysis. It is shown that the interaction of large- and small-scale perturbations mo dulates the creation rate of early Zel'dovich pancakes and generates bias o n the SLSS scale. For suitable parameters of the cosmological model and reh eating process this bias can essentially improve the characteristics of sim ulated structure of the Universe. The models with 0.3 less than or equal to Omega(m) less than or equal to 0. 5 give the best description of the observed structure parameters. The influ ence of low-mass 'warm' dark matter particles, such as a massive neutrino, will extend the acceptable range of Omega(m) and h.