  The study of the properties of cosmic structures in the universe is one of
the most fascinating subject of the modern cosmology research. Far from being
predicted, the large scale structure of the matter distribution is a very
recent discovery, which continuosly exhibits new features and issues. We have
faced such topic along two directions; from one side we have studied the
correlation properties of the cosmic structures, that we have found
substantially different from the commonly accepted ones. From the other side,
we have studied the statistical properties of the very simplified system, in
the attempt to capture the essential ingredients of the formation of the
observed structures.
