An information theory based search for homogeneity on the largest accessible scale

Abstract

We analyze the SDSS DR12 quasar catalogue to test the large-scale smoothness in the quasar distribution. We quantify the degree of inhomogeneity in the quasar distribution using information theory based measures and find that the degree of inhomogeneity diminishes with increasing length scales which finally reach a plateau at $\sim 250h^{-1}\mathrm{Mpc}$. The residual inhomogeneity at the plateau is consistent with that expected for a Poisson point process. Our results indicate that the quasar distribution is homogeneous beyond length scales of $250h^{-1}\mathrm{Mpc}$.

5 pages, 2 figures, Corrected a few typos, Accepted for publication in MNRAS Letters

References in corpus (5)

• Think Outside the Color Box: Probabilistic Target Selection and the SDSS-XDQSO Quasar Targeting Catalog
• Homogeneity and isotropy in the 2MASS Photometric Redshift catalogue
• Information Entropy in Cosmology
• Accelerated expansion without dark energy
• Power law correlations in galaxy distribution and finite volume effects from the Sloan Digital Sky Survey Data Release Four

Cited by in corpus (1)

• Cosmic homogeneity: a spectroscopic and model-independent measurement