Void probabilities - Behaviour with depth of survey in 2D catalogs

Astronomy and Astrophysics – Astrophysics

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Astronomical Catalogs, Cosmology, Galactic Clusters, Correlation, Statistical Distributions, Voids

Scientific paper

A catalog provided by the study of a field on the edge of the Coma filament is used here to investigate the clustering scaling properties on small scales but up to a limiting magnitude of m(B) = 18. The two-point correlation function of the sample as well as its void probability function are studied. The correlation function agrees with the one determined by Groth and Peebles (1977) when scaled to the Zwicky catalog depth, and curvature effects are corrected for. The function chi, which is the logarithm of the void probability function normalized to Poisson, when expressed as a function of the scaling variable q, allows a comparison with the CfA catalog. The good agreement supports the hypothesis that the scaling invariance of the galaxy distribution is a very general property. It also shows that the statistical properties of a deep and very narrow sample of galaxies do not differ substantially from those of the CfA catalog.

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