Renyi entropy as a measure of cosmic homogeneity. (arXiv:2008.10266v3 [astro-ph.CO] UPDATED)

Renyi entropy as a measure of cosmic homogeneity. (arXiv:2008.10266v3 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Pandey_B/0/1/0/all/0/1">Biswajit Pandey</a>

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.

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.

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