Multi-scale morphology of the galaxy distribution

Abstract

Many statistical methods have been proposed in the last years for analyzing the spatial distribution of galaxies. Very few of them, however, can handle properly the border effects of complex observational sample volumes. In this paper, we first show how to calculate the Minkowski Functionals (MF) taking into account these border effects. Then we present a multiscale extension of the MF which gives us more information about how the galaxies are spatially distributed. A range of examples using Gaussian random fields illustrate the results. Finally we have applied the Multiscale Minkowski Functionals (MMF) to the 2dF Galaxy Redshift Survey data. The MMF clearly indicates an evolution of morphology with scale. We also compare the 2dF real catalog with mock catalogs and found that Lambda-CDM simulations roughly fit the data, except at the finest scale.

17 pages, 19 figures, accepted for publication in MNRAS

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• Discreteness Effects in Lambda Cold Dark Matter Simulations: A Wavelet-Statistical View
• SDSS superclusters: morphology and galaxy content
• Reliability of the detection of the Baryon Acoustic Peak
• SDSS DR7 superclusters. Morphology
• Multimodality of rich clusters from the SDSS DR8 within the supercluster-void network
• Galaxy filaments as pearl necklaces
• Toward understanding rich superclusters
• Sloan Great Wall as a complex of superclusters with collapsing cores
• SDSS DR7 superclusters. Principal component analysis
• Cosmological Applications of the Gaussian Kinematic Formula
• Multi-Scale Morphological Analysis of SDSS DR5 Survey using the Metric Space Technique
• Tomographic local 2D analyses of the WISExSuperCOSMOS all-sky galaxy catalogue
• BOSS Great Wall: morphology, luminosity, and mass
• Cosmological constraints from low redshift 21 cm intensity mapping with machine learning
• Quasi-spherical superclusters
• Alpha Shape Topology of the Cosmic Web
• Three-Dimensional Filamentation Analysis of SDSS DR5 Survey