Photometric Effects and Voronoi-diagrams as a mixed model for the spatial distribution of galaxies

TL;DR

This paper reviews how Voronoi diagrams can model the large-scale structure of the universe, explaining galaxy distribution patterns through luminosity functions and statistical analysis.

Contribution

It introduces new luminosity functions for galaxies and discusses the application of Voronoi diagrams to reproduce cosmic large-scale structures.

Findings

Voronoi diagrams effectively model galaxy distribution patterns.

The observed galaxy counts versus redshift can be explained by luminosity functions.

New luminosity functions provide better fits to astronomical data.

Abstract

We review the model of the Voronoi Diagrams which allows to reproduce the large-scale structures of our universe as given by the astronomical catalogs. The observed number of galaxies in a given solid angle with a chosen flux/magnitude versus the redshift presents a maximum that is a function of the flux/magnitude ; it can be explained by a detailed analysis of the standard luminosity function for galaxies as well by two new luminosity function for galaxies. The current status of the research on the statistics of the Voronoi Diagrams is reviewed.