A method for testing the cosmic homogeneity with Shannon entropy
  We propose a method for testing cosmic homogeneity based on the Shannon
entropy in Information theory and test the potentials and limitations of the
method on Monte Carlo simulations of some homogeneous and inhomogeneous 3D
point process in a finite region of space. We analyze a set of N-body
simulations to investigate the prospect of determining the scale of homogeneity
with the proposed method and show that the method could serve as an efficient
tool for the study of homogeneity.
