Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-10-31
Mon.Not.Roy.Astron.Soc.374:1030-1044,2007
Astronomy and Astrophysics
Astrophysics
17 pages, 19 figures, accepted for publication in MNRAS
Scientific paper
10.1111/j.1365-2966.2006.11237.x
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.
Donoho David L.
Martinez Vicent J.
Saar Enn
Starck Jean-Luc
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