Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap.....51..320v&link_type=abstract
Astrophysics, Volume 51, Issue 3, pp.320-335
Astronomy and Astrophysics
Astrophysics
Universe, Large-Scale Structure, Sdss Survey, Correlation Analysis, Fractals
Scientific paper
Correlation properties of the large-scale structure of the distribution of luminous red galaxies are evaluated using data from Data Release 5 of the Sloan Digital Sky Survey. The correlations on small scales are characterized by the distribution of distances to the nearest neighboring galaxy ω(r). The conditional number density Γ(r) indicates a power law correlation with an exponent γ = 1.0±0.1 over scales of [1, 30] Mpc/h in redshift space. For larger scales of [30, 200] Mpc/h, a transition from a power law to a flat segment is observed. However, the presence of a flat segment in the estimated conditional density is only a necessary, but not sufficient, condition for homogeneity of a given sample. In particular, the flat segment may be caused by the presence of superlarge structures (such as have been discovered in the most recent ultra-deep COSMOS survey) which lead to a systematic shift in the estimated conditional number density. The behavior of the reduced two-point correlation function) ξ(r) is also discussed for scales of [1, 200] Mpc/h. Over small scales, where ξ(r) >> 1, the slopes of the reduced correlation function and the conditional number density are the same.
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