A statistical discriminator among galaxy samples of different large-scale topology and geometry

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Structure, Statistical Analysis, Topology, Cosmology, Galactic Clusters, Mass Distribution, Spatial Distribution

Scientific paper

A method is proposed for the analysis of several statistical features of both over- and underdense regions of smoothed point processes. Its purpose is to characterize the large-scale structure in the universe both qualitatively and quantitatively. The method discriminates among different topological as well as geometrical features of density distributions. The latter are modeled by a sequence of toy slices which represent different types of structure in two spatial dimensions and are relevant for the purpose of studying galaxy samples extracted either from galaxy-formation models or from galaxy distributions on the sky.

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