The dynamics of a 1D self-gravitating medium with initial density almost un
iform is studied. Numerical experiments are performed with ordered and with
Gaussian random initial conditions. The phase space portraits art shown to
be qualitatively similar to shock waves, in particular with initial condit
ions of Brownian type. The PDF of the mass distribution is investigated. (C
) 2001 Elsevier Science B.V. All rights reserved.