Abstract:
We relate the information entropy and the mass variance of any distribution in the regime of
small fluctuations. We use a set of Monte Carlo simulations of different homogeneous and
inhomogeneous distributions to verify the relation and also test it in a set of cosmological
N-body simulations. We find that the relation is in excellent agreement with the simulations
and is independent of number density and the nature of the distributions. We show that the
relation between information entropy and mass variance can be used to determine the linear
bias on large scales and detect the signatures of non-Gaussianity on small scales in galaxy
distributions.
