Renyi entropy as a measure of cosmic homogeneity

Understand

We propose a method for testing homogeneity in three dimensional spatial distributions using Renyi entropy.

• We apply the proposed method to data from cosmological N-body simulations and Monte Carlo simulations of homogeneous Poisson point process.
• We show that the method can effectively characterize the inhomogeneities and identify any transition scale to homogeneity, if present in such distributions.
• The proposed method can be used to study the cosmic homogeneity in present and future generation galaxy redshift surveys.