Stochastic dynamics of density fluctuations in a gravitating medium

The evolution of the density fluctuations in a gravitating medium is considered by taking account the effect of other density fluctuations. It is shown that the collective stochastic gravitational field of the density fluctuations may affect essentially the evolution rate of the density contrasts. Thus, in a spatially-flat isotropic homogeneous cosmological model. An estimation of the space correlation of the density fluctuations is obtained