Voronoi chords in flat cosmology

Abstract

In this paper we present formulae for chord length distribution in the framework of Poissonian Voronoi Tessellation (PVT) and non Poissonian Voronoi Tessellation (NPVT). The introduction of the scale parameter in the obtained distributions allows us to model the chord for cosmic voids. A graphical comparison between cosmic voids visible on two catalogs of galaxies, 2dFGRS and VIPERS, and theoretical random chords is reported.

10 pages and 6 figures

References in corpus (3)

• The VIMOS Public Extragalactic Survey (VIPERS): First Data Release of 57 204 spectroscopic measurements
• Cosmic Voids in Sloan Digital Sky Survey Data Release 7
• The orientation of disk galaxies around large cosmic voids